75730152960 has 2240 divisors, whose sum is σ = 370971684864. Its totient is φ = 14332723200.

The previous prime is 75730152917. The next prime is 75730153033. The reversal of 75730152960 is 6925103757.

75730152960 is a `hidden beast` number, since 7 + 57 + 301 + 5 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2442908145 + ... + 2442908175.

Almost surely, 2^75730152960 is an apocalyptic number.

75730152960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75730152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185485842432).

75730152960 is an abundant number, since it is smaller than the sum of its proper divisors (295241531904).

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

75730152960 is a wasteful number, since it uses less digits than its factorization.

75730152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 75730152960 in words is "seventy-five billion, seven hundred thirty million, one hundred fifty-two thousand, nine hundred sixty".