7637406105600 has 1080 divisors, whose sum is σ = 29629564992720. Its totient is φ = 1928441364480.

The previous prime is 7637406105551. The next prime is 7637406105613. The reversal of 7637406105600 is 65016047367.

7637406105600 is a `hidden beast` number, since 7 + 6 + 3 + 74 + 0 + 6 + 10 + 560 + 0 = 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3992370244 + ... + 3992372156.

Almost surely, 2^{7637406105600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7637406105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814782496360).

7637406105600 is an abundant number, since it is smaller than the sum of its proper divisors (21992158887120).

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

7637406105600 is a wasteful number, since it uses less digits than its factorization.

7637406105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 7637406105600 in words is "seven trillion, six hundred thirty-seven billion, four hundred six million, one hundred five thousand, six hundred".