964414273536 has 960 divisors, whose sum is σ = 3454289879040. Its totient is φ = 262288834560.

The previous prime is 964414273519. The next prime is 964414273541. The reversal of 964414273536 is 635372414469.

964414273536 is a `hidden beast` number, since 9 + 64 + 4 + 1 + 42 + 7 + 3 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (13063680) is a multiple of the sum of its prime factors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2627831625 + ... + 2627831991.

It is an arithmetic number, because the mean of its divisors is an integer number (3598218624).

Almost surely, 2^964414273536 is an apocalyptic number.

964414273536 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 964414273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727144939520).

964414273536 is an abundant number, since it is smaller than the sum of its proper divisors (2489875605504).

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

964414273536 is a wasteful number, since it uses less digits than its factorization.

964414273536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 483 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 964414273536 in words is "nine hundred sixty-four billion, four hundred fourteen million, two hundred seventy-three thousand, five hundred thirty-six".