75496634880 has 160 divisors (see below), whose sum is σ = 242691216768. Its totient is φ = 20020838400.

The previous prime is 75496634849. The next prime is 75496634921. The reversal of 75496634880 is 8843669457.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×75496634880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362925 + ... + 1417235.

Almost surely, 2^75496634880 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 75496634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121345608384).

75496634880 is an abundant number, since it is smaller than the sum of its proper divisors (167194581888).

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

75496634880 is a wasteful number, since it uses less digits than its factorization.

75496634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54518 (or 54502 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 75496634880 in words is "seventy-five billion, four hundred ninety-six million, six hundred thirty-four thousand, eight hundred eighty".