75090070777656 has 256 divisors, whose sum is σ = 208629479692800. Its totient is φ = 22518532270080.

The previous prime is 75090070777651. The next prime is 75090070777663. The reversal of 75090070777656 is 65677707009057.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75090070777651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3448759186 + ... + 3448780958.

It is an arithmetic number, because the mean of its divisors is an integer number (814958905050).

Almost surely, 2^{75090070777656} 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 75090070777656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104314739846400).

75090070777656 is an abundant number, since it is smaller than the sum of its proper divisors (133539408915144).

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

75090070777656 is a wasteful number, since it uses less digits than its factorization.

75090070777656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22931 (or 22905 counting only the distinct ones).

The product of its (nonzero) digits is 136136700, while the sum is 66.

The spelling of 75090070777656 in words is "seventy-five trillion, ninety billion, seventy million, seven hundred seventy-seven thousand, six hundred fifty-six".