75946464 has 192 divisors, whose sum is σ = 247484160. Its totient is φ = 22464000.

The previous prime is 75946457. The next prime is 75946469. The reversal of 75946464 is 46464957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75946469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579679 + ... + 579809.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^75946464 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 75946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

75946464 is an abundant number, since it is smaller than the sum of its proper divisors (171537696).

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

75946464 is a wasteful number, since it uses less digits than its factorization.

75946464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 75946464 is about 8714.7268459774. The cubic root of 75946464 is about 423.4828749521.

It can be divided in two parts, 759464 and 64, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 75946464 in words is "seventy-five million, nine hundred forty-six thousand, four hundred sixty-four".