964752768 has 336 divisors, whose sum is σ = 3367992060. Its totient is φ = 274337280.

The previous prime is 964752749. The next prime is 964752781. The reversal of 964752768 is 867257469.

964752768 is a `hidden beast` number, since 96 + 475 + 27 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4572183 + ... + 4572393.

Almost surely, 2^964752768 is an apocalyptic number.

964752768 is a gapful number since it is divisible by the number (98) 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 964752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683996030).

964752768 is an abundant number, since it is smaller than the sum of its proper divisors (2403239292).

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

964752768 is an equidigital number, since it uses as much as digits as its factorization.

964752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 223 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 964752768 is about 31060.4695392713. The cubic root of 964752768 is about 988.1101135557.

The spelling of 964752768 in words is "nine hundred sixty-four million, seven hundred fifty-two thousand, seven hundred sixty-eight".