75946497480 has 640 divisors, whose sum is σ = 305895744000. Its totient is φ = 16880887296.

The previous prime is 75946497479. The next prime is 75946497491. The reversal of 75946497480 is 8479464957.

75946497480 is a `hidden beast` number, since 7 + 5 + 9 + 4 + 64 + 97 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41117917 + ... + 41119763.

It is an arithmetic number, because the mean of its divisors is an integer number (477962100).

Almost surely, 2^75946497480 is an apocalyptic number.

75946497480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75946497480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152947872000).

75946497480 is an abundant number, since it is smaller than the sum of its proper divisors (229949246520).

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

75946497480 is a wasteful number, since it uses less digits than its factorization.

75946497480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 75946497480 in words is "seventy-five billion, nine hundred forty-six million, four hundred ninety-seven thousand, four hundred eighty".