75233564640 has 480 divisors, whose sum is σ = 286797018816. Its totient is φ = 18463334400.

The previous prime is 75233564573. The next prime is 75233564647. The reversal of 75233564640 is 4646533257.

75233564640 is a `hidden beast` number, since 7 + 5 + 23 + 3 + 564 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75233564647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101256109 + ... + 101256851.

Almost surely, 2^75233564640 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 75233564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143398509408).

75233564640 is an abundant number, since it is smaller than the sum of its proper divisors (211563454176).

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

75233564640 is a wasteful number, since it uses less digits than its factorization.

75233564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 75233564640 in words is "seventy-five billion, two hundred thirty-three million, five hundred sixty-four thousand, six hundred forty".