75260400384 has 144 divisors (see below), whose sum is σ = 218443097600. Its totient is φ = 22863679488.

The previous prime is 75260400359. The next prime is 75260400403. The reversal of 75260400384 is 48300406257.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 741027 + ... + 836445.

Almost surely, 2^75260400384 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 75260400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109221548800).

75260400384 is an abundant number, since it is smaller than the sum of its proper divisors (143182697216).

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

75260400384 is a wasteful number, since it uses less digits than its factorization.

75260400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95530 (or 95516 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 75260400384 in words is "seventy-five billion, two hundred sixty million, four hundred thousand, three hundred eighty-four".