6132966840 has 1280 divisors, whose sum is σ = 29038141440. Its totient is φ = 1119744000.

The previous prime is 6132966821. The next prime is 6132966841. The reversal of 6132966840 is 486692316.

6132966840 is a `hidden beast` number, since 613 + 29 + 6 + 6 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×6132966840² = 75226564521079171200, which contains 22 as substring.

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 (6132966841) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 100540410 + ... + 100540470.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 2^6132966840 is an apocalyptic number.

6132966840 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 6132966840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519070720).

6132966840 is an abundant number, since it is smaller than the sum of its proper divisors (22905174600).

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

6132966840 is a wasteful number, since it uses less digits than its factorization.

6132966840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6132966840 is about 78313.2609460237. The cubic root of 6132966840 is about 1830.4457930341.

The spelling of 6132966840 in words is "six billion, one hundred thirty-two million, nine hundred sixty-six thousand, eight hundred forty".