6141976920 has 384 divisors, whose sum is σ = 21883530240. Its totient is φ = 1488015360.

The previous prime is 6141976913. The next prime is 6141976927. The reversal of 6141976920 is 296791416.

6141976920 is a `hidden beast` number, since 614 + 1 + 9 + 7 + 6 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6141976913) and next prime (6141976927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141976927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37680759 + ... + 37680921.

It is an arithmetic number, because the mean of its divisors is an integer number (56988360).

Almost surely, 2^6141976920 is an apocalyptic number.

6141976920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141976920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10941765120).

6141976920 is an abundant number, since it is smaller than the sum of its proper divisors (15741553320).

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

6141976920 is a wasteful number, since it uses less digits than its factorization.

6141976920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6141976920 is about 78370.7657229403. The cubic root of 6141976920 is about 1831.3417375018.

The spelling of 6141976920 in words is "six billion, one hundred forty-one million, nine hundred seventy-six thousand, nine hundred twenty".