104679963360 has 768 divisors, whose sum is σ = 427884871680. Its totient is φ = 23410114560.

The previous prime is 104679963337. The next prime is 104679963439. The reversal of 104679963360 is 63369976401.

104679963360 is a `hidden beast` number, since 1 + 0 + 467 + 9 + 96 + 33 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 104679963297 and 104679963306.

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, 372526420 + ... + 372526700.

It is an arithmetic number, because the mean of its divisors is an integer number (557141760).

Almost surely, 2^104679963360 is an apocalyptic number.

104679963360 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 104679963360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213942435840).

104679963360 is an abundant number, since it is smaller than the sum of its proper divisors (323204908320).

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

104679963360 is a wasteful number, since it uses less digits than its factorization.

104679963360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 104679963360 in words is "one hundred four billion, six hundred seventy-nine million, nine hundred sixty-three thousand, three hundred sixty".