96784994880 has 672 divisors, whose sum is σ = 396614050560. Its totient is φ = 22006702080.

The previous prime is 96784994857. The next prime is 96784994987. The reversal of 96784994880 is 8849948769.

96784994880 is a `hidden beast` number, since 9 + 67 + 84 + 9 + 9 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×96784994880³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 96784994799 and 96784994808.

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, 146421750 + ... + 146422410.

It is an arithmetic number, because the mean of its divisors is an integer number (590199480).

Almost surely, 2^96784994880 is an apocalyptic number.

96784994880 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 96784994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198307025280).

96784994880 is an abundant number, since it is smaller than the sum of its proper divisors (299829055680).

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

96784994880 is a wasteful number, since it uses less digits than its factorization.

96784994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 96784994880 in words is "ninety-six billion, seven hundred eighty-four million, nine hundred ninety-four thousand, eight hundred eighty".