93912920640 has 1344 divisors, whose sum is σ = 427696335360. Its totient is φ = 18977587200.

The previous prime is 93912920639. The next prime is 93912920641. The reversal of 93912920640 is 4602921939.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (93912920639) and next prime (93912920641).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93912920641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300041124 + ... + 300041436.

It is an arithmetic number, because the mean of its divisors is an integer number (318226440).

Almost surely, 2^93912920640 is an apocalyptic number.

93912920640 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 93912920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213848167680).

93912920640 is an abundant number, since it is smaller than the sum of its proper divisors (333783414720).

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

93912920640 is a wasteful number, since it uses less digits than its factorization.

93912920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 93912920640 in words is "ninety-three billion, nine hundred twelve million, nine hundred twenty thousand, six hundred forty".