75457146240 has 1024 divisors, whose sum is σ = 323136000000. Its totient is φ = 16614678528.

The previous prime is 75457146239. The next prime is 75457146251. The reversal of 75457146240 is 4264175457.

75457146240 is a `hidden beast` number, since 7 + 5 + 4 + 5 + 7 + 14 + 624 + 0 = 666.

It is a super-2 number, since 2×75457146240² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 171883941 + ... + 171884379.

It is an arithmetic number, because the mean of its divisors is an integer number (315562500).

Almost surely, 2^75457146240 is an apocalyptic number.

75457146240 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 75457146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000000).

75457146240 is an abundant number, since it is smaller than the sum of its proper divisors (247678853760).

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

75457146240 is a wasteful number, since it uses less digits than its factorization.

75457146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 75457146240 in words is "seventy-five billion, four hundred fifty-seven million, one hundred forty-six thousand, two hundred forty".