96763195468800 has 2112 divisors, whose sum is σ = 420144228096000. Its totient is φ = 21810423398400.

The previous prime is 96763195468787. The next prime is 96763195468813. The reversal of 96763195468800 is 886459136769.

96763195468800 is a `hidden beast` number, since 9 + 6 + 7 + 63 + 19 + 546 + 8 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96763195468787) and next prime (96763195468813).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17306954005 + ... + 17306959595.

Almost surely, 2^{96763195468800} is an apocalyptic number.

96763195468800 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 96763195468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210072114048000).

96763195468800 is an abundant number, since it is smaller than the sum of its proper divisors (323381032627200).

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

96763195468800 is a wasteful number, since it uses less digits than its factorization.

96763195468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 96763195468800 in words is "ninety-six trillion, seven hundred sixty-three billion, one hundred ninety-five million, four hundred sixty-eight thousand, eight hundred".