75646464 has 80 divisors (see below), whose sum is σ = 213455088. Its totient is φ = 23724032.

The previous prime is 75646451. The next prime is 75646477. The reversal of 75646464 is 46464657.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75646451) and next prime (75646477).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24664 + ... + 27560.

Almost surely, 2^75646464 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 75646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106727544).

75646464 is an abundant number, since it is smaller than the sum of its proper divisors (137808624).

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

75646464 is a wasteful number, since it uses less digits than its factorization.

75646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2919 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 75646464 is about 8697.4975711408. The cubic root of 75646464 is about 422.9245320266.

It can be divided in two parts, 7564 and 6464, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 75646464 in words is "seventy-five million, six hundred forty-six thousand, four hundred sixty-four".