93378967920 has 240 divisors, whose sum is σ = 360277512192. Its totient is φ = 21231797760.

The previous prime is 93378967909. The next prime is 93378967931. The reversal of 93378967920 is 2976987339.

93378967920 is a `hidden beast` number, since 93 + 378 + 96 + 7 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (93378967909) and next prime (93378967931).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914139 + ... + 1011141.

Almost surely, 2^93378967920 is an apocalyptic number.

93378967920 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 93378967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180138756096).

93378967920 is an abundant number, since it is smaller than the sum of its proper divisors (266898544272).

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

93378967920 is a wasteful number, since it uses less digits than its factorization.

93378967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97220 (or 97211 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 93378967920 in words is "ninety-three billion, three hundred seventy-eight million, nine hundred sixty-seven thousand, nine hundred twenty".