6165876587904 has 1792 divisors, whose sum is σ = 22096703577600. Its totient is φ = 1693052928000.

The previous prime is 6165876587873. The next prime is 6165876587929. The reversal of 6165876587904 is 4097856785616.

It is a super-2 number, since 2×6165876587904² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 84464062812 + ... + 84464062884.

Almost surely, 2^{6165876587904} is an apocalyptic number.

6165876587904 is a gapful number since it is divisible by the number (64) 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 6165876587904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048351788800).

6165876587904 is an abundant number, since it is smaller than the sum of its proper divisors (15930826989696).

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

6165876587904 is a wasteful number, since it uses less digits than its factorization.

6165876587904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 6165876587904 in words is "six trillion, one hundred sixty-five billion, eight hundred seventy-six million, five hundred eighty-seven thousand, nine hundred four".