93764494080 has 288 divisors, whose sum is σ = 340854333120. Its totient is φ = 24393646080.

The previous prime is 93764494079. The next prime is 93764494111. The reversal of 93764494080 is 8049446739.

It is a happy number.

93764494080 is a `hidden beast` number, since 9 + 3 + 76 + 4 + 494 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383874 + ... + 1450046.

It is an arithmetic number, because the mean of its divisors is an integer number (1183521990).

Almost surely, 2^93764494080 is an apocalyptic number.

93764494080 is a gapful number since it is divisible by the number (90) 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 93764494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170427166560).

93764494080 is an abundant number, since it is smaller than the sum of its proper divisors (247089839040).

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

93764494080 is a wasteful number, since it uses less digits than its factorization.

93764494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66244 (or 66224 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 93764494080 in words is "ninety-three billion, seven hundred sixty-four million, four hundred ninety-four thousand, eighty".