964679818998336 has 672 divisors, whose sum is σ = 3242564227584000. Its totient is φ = 251410242908160.

The previous prime is 964679818998331. The next prime is 964679818998347. The reversal of 964679818998336 is 633899818976469.

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

It is a Harshad number since it is a multiple of its sum of digits (96).

It is not an unprimeable number, because it can be changed into a prime (964679818998331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1091196615 + ... + 1092080313.

Almost surely, 2^{964679818998336} is an apocalyptic number.

964679818998336 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 964679818998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621282113792000).

964679818998336 is an abundant number, since it is smaller than the sum of its proper divisors (2277884408585664).

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

964679818998336 is a wasteful number, since it uses less digits than its factorization.

964679818998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883975 (or 883958 counting only the distinct ones).

The product of its digits is 182849716224, while the sum is 96.

The spelling of 964679818998336 in words is "nine hundred sixty-four trillion, six hundred seventy-nine billion, eight hundred eighteen million, nine hundred ninety-eight thousand, three hundred thirty-six".