77075494295040 has 480 divisors, whose sum is σ = 269623383400800. Its totient is φ = 20346733854720.

The previous prime is 77075494294957. The next prime is 77075494295077. The reversal of 77075494295040 is 4059249457077.

77075494295040 is a `hidden beast` number, since 7 + 7 + 0 + 7 + 549 + 42 + 9 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2940789456 + ... + 2940815664.

It is an arithmetic number, because the mean of its divisors is an integer number (561715382085).

Almost surely, 2^{77075494295040} 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 77075494295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134811691700400).

77075494295040 is an abundant number, since it is smaller than the sum of its proper divisors (192547889105760).

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

77075494295040 is a wasteful number, since it uses less digits than its factorization.

77075494295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27518 (or 27499 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 77075494295040 in words is "seventy-seven trillion, seventy-five billion, four hundred ninety-four million, two hundred ninety-five thousand, forty".