751313664 has 144 divisors (see below), whose sum is σ = 2253714400. Its totient is φ = 246841344.

The previous prime is 751313663. The next prime is 751313669. The reversal of 751313664 is 466313157.

751313664 is a `hidden beast` number, since 7 + 513 + 136 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (751313663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503832 + ... + 505320.

Almost surely, 2^751313664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 751313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126857200).

751313664 is an abundant number, since it is smaller than the sum of its proper divisors (1502400736).

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

751313664 is a wasteful number, since it uses less digits than its factorization.

751313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1567 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 751313664 is about 27410.1014956165. The cubic root of 751313664 is about 909.0904505404.

The spelling of 751313664 in words is "seven hundred fifty-one million, three hundred thirteen thousand, six hundred sixty-four".