75540454704 has 240 divisors, whose sum is σ = 248635898784. Its totient is φ = 21107404800.

The previous prime is 75540454679. The next prime is 75540454709. The reversal of 75540454704 is 40745404557.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75540454704.

It is not an unprimeable number, because it can be changed into a prime (75540454709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30495514 + ... + 30497990.

Almost surely, 2^75540454704 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 75540454704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124317949392).

75540454704 is an abundant number, since it is smaller than the sum of its proper divisors (173095444080).

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

75540454704 is a wasteful number, since it uses less digits than its factorization.

75540454704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 75540454704 in words is "seventy-five billion, five hundred forty million, four hundred fifty-four thousand, seven hundred four".