104627967840 has 768 divisors, whose sum is σ = 431362713600. Its totient is φ = 23417856000.

The previous prime is 104627967823. The next prime is 104627967859. The reversal of 104627967840 is 48769726401.

104627967840 is a `hidden beast` number, since 1 + 0 + 4 + 627 + 9 + 6 + 7 + 8 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 31694190 + ... + 31697490.

It is an arithmetic number, because the mean of its divisors is an integer number (561670200).

Almost surely, 2^104627967840 is an apocalyptic number.

104627967840 is a gapful number since it is divisible by the number (10) 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 104627967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215681356800).

104627967840 is an abundant number, since it is smaller than the sum of its proper divisors (326734745760).

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

104627967840 is a wasteful number, since it uses less digits than its factorization.

104627967840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 104627967840 in words is "one hundred four billion, six hundred twenty-seven million, nine hundred sixty-seven thousand, eight hundred forty".