75495732480 has 1440 divisors, whose sum is σ = 339763818240. Its totient is φ = 15606743040.

The previous prime is 75495732461. The next prime is 75495732493. The reversal of 75495732480 is 8423759457.

It is a happy number.

75495732480 is a `hidden beast` number, since 7 + 5 + 4 + 95 + 73 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 357799575 + ... + 357799785.

It is an arithmetic number, because the mean of its divisors is an integer number (235947096).

Almost surely, 2^75495732480 is an apocalyptic number.

75495732480 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 75495732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169881909120).

75495732480 is an abundant number, since it is smaller than the sum of its proper divisors (264268085760).

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

75495732480 is a wasteful number, since it uses less digits than its factorization.

75495732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 75495732480 in words is "seventy-five billion, four hundred ninety-five million, seven hundred thirty-two thousand, four hundred eighty".