964594262016 has 2016 divisors, whose sum is σ = 3915814855680. Its totient is φ = 234101145600.

The previous prime is 964594262003. The next prime is 964594262017. The reversal of 964594262016 is 610262495469.

964594262016 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 9 + 4 + 2 + 620 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-4 number, since 4×964594262016⁴ (a number of 49 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964594262017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31115943921 + ... + 31115943951.

It is an arithmetic number, because the mean of its divisors is an integer number (1942368480).

Almost surely, 2^964594262016 is an apocalyptic number.

964594262016 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 964594262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957907427840).

964594262016 is an abundant number, since it is smaller than the sum of its proper divisors (2951220593664).

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

964594262016 is a wasteful number, since it uses less digits than its factorization.

964594262016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 964594262016 in words is "nine hundred sixty-four billion, five hundred ninety-four million, two hundred sixty-two thousand, sixteen".