93699680256 has 576 divisors, whose sum is σ = 345576067200. Its totient is φ = 24700059648.

The previous prime is 93699680237. The next prime is 93699680257. The reversal of 93699680256 is 65208699639.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 93699680193 and 93699680202.

It is not an unprimeable number, because it can be changed into a prime (93699680257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45286390 + ... + 45288458.

It is an arithmetic number, because the mean of its divisors is an integer number (599958450).

Almost surely, 2^93699680256 is an apocalyptic number.

93699680256 is a gapful number since it is divisible by the number (96) 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 93699680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172788033600).

93699680256 is an abundant number, since it is smaller than the sum of its proper divisors (251876386944).

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

93699680256 is a wasteful number, since it uses less digits than its factorization.

93699680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 93699680256 in words is "ninety-three billion, six hundred ninety-nine million, six hundred eighty thousand, two hundred fifty-six".