75904161480 has 384 divisors, whose sum is σ = 296596080000. Its totient is φ = 17215511040.

The previous prime is 75904161469. The next prime is 75904161493. The reversal of 75904161480 is 8416140957.

75904161480 is a `hidden beast` number, since 7 + 5 + 9 + 0 + 4 + 161 + 480 = 666.

It is a super-2 number, since 2×75904161480² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 6927046 + ... + 6937994.

It is an arithmetic number, because the mean of its divisors is an integer number (772385625).

Almost surely, 2^75904161480 is an apocalyptic number.

75904161480 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 75904161480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148298040000).

75904161480 is an abundant number, since it is smaller than the sum of its proper divisors (220691918520).

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

75904161480 is a wasteful number, since it uses less digits than its factorization.

75904161480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11114 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 75904161480 in words is "seventy-five billion, nine hundred four million, one hundred sixty-one thousand, four hundred eighty".