5638102178688 has 384 divisors, whose sum is σ = 18714888192000. Its totient is φ = 1595900952576.

The previous prime is 5638102178677. The next prime is 5638102178707. The reversal of 5638102178688 is 8868712018365.

5638102178688 is a `hidden beast` number, since 5 + 6 + 381 + 0 + 2 + 178 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787550853 + ... + 787558011.

It is an arithmetic number, because the mean of its divisors is an integer number (48736688000).

Almost surely, 2^{5638102178688} 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 5638102178688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357444096000).

5638102178688 is an abundant number, since it is smaller than the sum of its proper divisors (13076786013312).

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

5638102178688 is a wasteful number, since it uses less digits than its factorization.

5638102178688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8067 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 5638102178688 in words is "five trillion, six hundred thirty-eight billion, one hundred two million, one hundred seventy-eight thousand, six hundred eighty-eight".