96878384640 has 1120 divisors, whose sum is σ = 379344309696. Its totient is φ = 23648993280.

The previous prime is 96878384567. The next prime is 96878384641. The reversal of 96878384640 is 4648387869.

96878384640 is a `hidden beast` number, since 96 + 8 + 7 + 83 + 8 + 464 + 0 = 666.

It is a super-3 number, since 3×96878384640³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96878384641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1588170210 + ... + 1588170270.

Almost surely, 2^96878384640 is an apocalyptic number.

96878384640 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 96878384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189672154848).

96878384640 is an abundant number, since it is smaller than the sum of its proper divisors (282465925056).

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

96878384640 is an equidigital number, since it uses as much as digits as its factorization.

96878384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 96878384640 in words is "ninety-six billion, eight hundred seventy-eight million, three hundred eighty-four thousand, six hundred forty".