626680793088 has 768 divisors, whose sum is σ = 2266635571200. Its totient is φ = 167002767360.

The previous prime is 626680793029. The next prime is 626680793107. The reversal of 626680793088 is 880397086626.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862008981 + ... + 862009707.

It is an arithmetic number, because the mean of its divisors is an integer number (2951348400).

Almost surely, 2^626680793088 is an apocalyptic number.

626680793088 is a gapful number since it is divisible by the number (68) 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 626680793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133317785600).

626680793088 is an abundant number, since it is smaller than the sum of its proper divisors (1639954778112).

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

626680793088 is a wasteful number, since it uses less digits than its factorization.

626680793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 626680793088 in words is "six hundred twenty-six billion, six hundred eighty million, seven hundred ninety-three thousand, eighty-eight".