96619934670336 has 1920 divisors, whose sum is σ = 366396480552960. Its totient is φ = 23780774707200.

The previous prime is 96619934670283. The next prime is 96619934670341. The reversal of 96619934670336 is 63307643991669.

96619934670336 is a `hidden beast` number, since 9 + 6 + 6 + 199 + 34 + 6 + 70 + 336 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139826243751 + ... + 139826244441.

It is an arithmetic number, because the mean of its divisors is an integer number (190831500288).

Almost surely, 2^{96619934670336} is an apocalyptic number.

96619934670336 is a gapful number since it is divisible by the number (96) 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 96619934670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183198240276480).

96619934670336 is an abundant number, since it is smaller than the sum of its proper divisors (269776545882624).

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

96619934670336 is a wasteful number, since it uses less digits than its factorization.

96619934670336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 714256704, while the sum is 72.

The spelling of 96619934670336 in words is "ninety-six trillion, six hundred nineteen billion, nine hundred thirty-four million, six hundred seventy thousand, three hundred thirty-six".