6151946976 has 192 divisors, whose sum is σ = 20601423360. Its totient is φ = 1749565440.

The previous prime is 6151946971. The next prime is 6151946981. The reversal of 6151946976 is 6796491516.

It is a happy number.

6151946976 is a `hidden beast` number, since 61 + 51 + 9 + 469 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (6151946971) and next prime (6151946981).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6151946971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370656 + ... + 1375136.

It is an arithmetic number, because the mean of its divisors is an integer number (107299080).

Almost surely, 2^6151946976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6151946976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10300711680).

6151946976 is an abundant number, since it is smaller than the sum of its proper divisors (14449476384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6151946976 is a wasteful number, since it uses less digits than its factorization.

6151946976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4720 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 6151946976 is about 78434.3481900628. The cubic root of 6151946976 is about 1832.3321194430.

It can be divided in two parts, 615194 and 6976, that added together give a triangular number (622170 = T₁₁₁₅).

The spelling of 6151946976 in words is "six billion, one hundred fifty-one million, nine hundred forty-six thousand, nine hundred seventy-six".