6516042268032 has 960 divisors, whose sum is σ = 22187637964800. Its totient is φ = 1894793472000.

The previous prime is 6516042268027. The next prime is 6516042268033. The reversal of 6516042268032 is 2308622406156.

6516042268032 is a `hidden beast` number, since 6 + 5 + 1 + 604 + 2 + 2 + 6 + 8 + 0 + 32 = 666.

It is a super-2 number, since 2×6516042268032² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6516042268033) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5094637569 + ... + 5094638847.

It is an arithmetic number, because the mean of its divisors is an integer number (23112122880).

Almost surely, 2^{6516042268032} is an apocalyptic number.

6516042268032 is a gapful number since it is divisible by the number (62) 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 6516042268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093818982400).

6516042268032 is an abundant number, since it is smaller than the sum of its proper divisors (15671595696768).

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

6516042268032 is a wasteful number, since it uses less digits than its factorization.

6516042268032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6516042268032 in words is "six trillion, five hundred sixteen billion, forty-two million, two hundred sixty-eight thousand, thirty-two".