75240373824 has 672 divisors, whose sum is σ = 282569204736. Its totient is φ = 19281991680.

The previous prime is 75240373781. The next prime is 75240373861. The reversal of 75240373824 is 42837304257.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×75240373824² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75240373824.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99392454 + ... + 99393210.

It is an arithmetic number, because the mean of its divisors is an integer number (420489888).

Almost surely, 2^75240373824 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 75240373824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141284602368).

75240373824 is an abundant number, since it is smaller than the sum of its proper divisors (207328830912).

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

75240373824 is a wasteful number, since it uses less digits than its factorization.

75240373824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 75240373824 in words is "seventy-five billion, two hundred forty million, three hundred seventy-three thousand, eight hundred twenty-four".