75263016960 has 384 divisors, whose sum is σ = 267200350560. Its totient is φ = 19586875392.

The previous prime is 75263016893. The next prime is 75263016973. The reversal of 75263016960 is 6961036257.

75263016960 is a `hidden beast` number, since 7 + 5 + 2 + 630 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63405487 + ... + 63406673.

Almost surely, 2^75263016960 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 75263016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133600175280).

75263016960 is an abundant number, since it is smaller than the sum of its proper divisors (191937333600).

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

75263016960 is a wasteful number, since it uses less digits than its factorization.

75263016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 75263016960 in words is "seventy-five billion, two hundred sixty-three million, sixteen thousand, nine hundred sixty".