75213332735040 has 336 divisors, whose sum is σ = 276256321735680. Its totient is φ = 18740585041920.

The previous prime is 75213332735027. The next prime is 75213332735137. The reversal of 75213332735040 is 4053723331257.

75213332735040 is a `hidden beast` number, since 7 + 5 + 2 + 1 + 333 + 273 + 5 + 0 + 40 = 666.

It is a super-2 number, since 2×75213332735040² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11935764 + ... + 17114003.

Almost surely, 2^{75213332735040} is an apocalyptic number.

It is an amenable number.

75213332735040 is an abundant number, since it is smaller than the sum of its proper divisors (201042989000640).

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

75213332735040 is a wasteful number, since it uses less digits than its factorization.

75213332735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29049850 (or 29049837 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 75213332735040 in words is "seventy-five trillion, two hundred thirteen billion, three hundred thirty-two million, seven hundred thirty-five thousand, forty".