93042499680 has 576 divisors, whose sum is σ = 353682987840. Its totient is φ = 22129459200.

The previous prime is 93042499637. The next prime is 93042499681. The reversal of 93042499680 is 8699424039.

93042499680 is a `hidden beast` number, since 9 + 30 + 42 + 499 + 6 + 80 = 666.

It is a cake number, because a cake can be divided into 93042499680 parts by 8234 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93042499681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67372590 + ... + 67373970.

It is an arithmetic number, because the mean of its divisors is an integer number (614032965).

Almost surely, 2^93042499680 is an apocalyptic number.

93042499680 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 93042499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176841493920).

93042499680 is an abundant number, since it is smaller than the sum of its proper divisors (260640488160).

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

93042499680 is a wasteful number, since it uses less digits than its factorization.

93042499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 93042499680 in words is "ninety-three billion, forty-two million, four hundred ninety-nine thousand, six hundred eighty".