75623820480 has 896 divisors, whose sum is σ = 305108213760. Its totient is φ = 17497866240.

The previous prime is 75623820469. The next prime is 75623820523. The reversal of 75623820480 is 8402832657.

75623820480 is a `hidden beast` number, since 7 + 562 + 3 + 8 + 2 + 0 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128830747 + ... + 128831333.

It is an arithmetic number, because the mean of its divisors is an integer number (340522560).

Almost surely, 2^75623820480 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 75623820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152554106880).

75623820480 is an abundant number, since it is smaller than the sum of its proper divisors (229484393280).

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

75623820480 is a wasteful number, since it uses less digits than its factorization.

75623820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 75623820480 in words is "seventy-five billion, six hundred twenty-three million, eight hundred twenty thousand, four hundred eighty".