75047057280 has 640 divisors, whose sum is σ = 303864976800. Its totient is φ = 17497866240.

The previous prime is 75047057273. The next prime is 75047057333. The reversal of 75047057280 is 8275074057.

75047057280 is a `hidden beast` number, since 7 + 5 + 0 + 4 + 70 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12801550 + ... + 12807410.

Almost surely, 2^75047057280 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 75047057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151932488400).

75047057280 is an abundant number, since it is smaller than the sum of its proper divisors (228817919520).

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

75047057280 is a wasteful number, since it uses less digits than its factorization.

75047057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 75047057280 in words is "seventy-five billion, forty-seven million, fifty-seven thousand, two hundred eighty".