964514893680 has 1200 divisors, whose sum is σ = 3825353822400. Its totient is φ = 224694632448.

The previous prime is 964514893679. The next prime is 964514893691. The reversal of 964514893680 is 86398415469.

964514893680 is a `hidden beast` number, since 9 + 6 + 4 + 514 + 8 + 9 + 36 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3752976112 + ... + 3752976368.

It is an arithmetic number, because the mean of its divisors is an integer number (3187794852).

Almost surely, 2^964514893680 is an apocalyptic number.

964514893680 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 964514893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912676911200).

964514893680 is an abundant number, since it is smaller than the sum of its proper divisors (2860838928720).

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

964514893680 is a wasteful number, since it uses less digits than its factorization.

964514893680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 964514893680 in words is "nine hundred sixty-four billion, five hundred fourteen million, eight hundred ninety-three thousand, six hundred eighty".