75053533680 has 120 divisors (see below), whose sum is σ = 252387841680. Its totient is φ = 19987829760.

The previous prime is 75053533679. The next prime is 75053533703. The reversal of 75053533680 is 8633535057.

75053533680 is a `hidden beast` number, since 7 + 5 + 0 + 53 + 533 + 68 + 0 = 666.

It is a Cunningham number, because it is equal to 273959²-1.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479431 + ... + 616409.

It is an arithmetic number, because the mean of its divisors is an integer number (2103232014).

Almost surely, 2^75053533680 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 75053533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126193920840).

75053533680 is an abundant number, since it is smaller than the sum of its proper divisors (177334308000).

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

75053533680 is a wasteful number, since it uses less digits than its factorization.

75053533680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137759 (or 137750 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 75053533680 in words is "seventy-five billion, fifty-three million, five hundred thirty-three thousand, six hundred eighty".