96456769920 has 768 divisors, whose sum is σ = 397453754880. Its totient is φ = 21897216000.

The previous prime is 96456769907. The next prime is 96456769939. The reversal of 96456769920 is 2996765469.

96456769920 is a `hidden beast` number, since 9 + 6 + 4 + 567 + 69 + 9 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 273248464 + ... + 273248816.

It is an arithmetic number, because the mean of its divisors is an integer number (517517910).

Almost surely, 2^96456769920 is an apocalyptic number.

96456769920 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 96456769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198726877440).

96456769920 is an abundant number, since it is smaller than the sum of its proper divisors (300996984960).

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

96456769920 is a wasteful number, since it uses less digits than its factorization.

96456769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 96456769920 in words is "ninety-six billion, four hundred fifty-six million, seven hundred sixty-nine thousand, nine hundred twenty".