75264930048 has 288 divisors, whose sum is σ = 250406940672. Its totient is φ = 19497369600.

The previous prime is 75264930023. The next prime is 75264930053. The reversal of 75264930048 is 84003946257.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 75264929979 and 75264930006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25486140 + ... + 25489092.

It is an arithmetic number, because the mean of its divisors is an integer number (869468544).

Almost surely, 2^75264930048 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 75264930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125203470336).

75264930048 is an abundant number, since it is smaller than the sum of its proper divisors (175142010624).

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

75264930048 is a wasteful number, since it uses less digits than its factorization.

75264930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 75264930048 in words is "seventy-five billion, two hundred sixty-four million, nine hundred thirty thousand, forty-eight".