75479139840 has 640 divisors, whose sum is σ = 272232576000. Its totient is φ = 17712414720.

The previous prime is 75479139839. The next prime is 75479139881. The reversal of 75479139840 is 4893197457.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379292061 + ... + 379292259.

It is an arithmetic number, because the mean of its divisors is an integer number (425363400).

Almost surely, 2^75479139840 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 75479139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288000).

75479139840 is an abundant number, since it is smaller than the sum of its proper divisors (196753436160).

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

75479139840 is a wasteful number, since it uses less digits than its factorization.

75479139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 75479139840 in words is "seventy-five billion, four hundred seventy-nine million, one hundred thirty-nine thousand, eight hundred forty".