6045176966400 has 1080 divisors, whose sum is σ = 26259748372704. Its totient is φ = 1352750284800.

The previous prime is 6045176966371. The next prime is 6045176966431. The reversal of 6045176966400 is 46696715406.

6045176966400 is a `hidden beast` number, since 6 + 0 + 4 + 5 + 176 + 9 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74090427 + ... + 74171973.

Almost surely, 2^{6045176966400} is an apocalyptic number.

6045176966400 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 6045176966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129874186352).

6045176966400 is an abundant number, since it is smaller than the sum of its proper divisors (20214571406304).

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

6045176966400 is a wasteful number, since it uses less digits than its factorization.

6045176966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81609 (or 81581 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6045176966400 in words is "six trillion, forty-five billion, one hundred seventy-six million, nine hundred sixty-six thousand, four hundred".