77581034496 has 704 divisors, whose sum is σ = 276521205760. Its totient is φ = 21021327360.

The previous prime is 77581034467. The next prime is 77581034507. The reversal of 77581034496 is 69443018577.

77581034496 is a `hidden beast` number, since 7 + 75 + 81 + 0 + 3 + 4 + 496 = 666.

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 63 ways as a sum of consecutive naturals, for example, 401974176 + ... + 401974368.

Almost surely, 2^77581034496 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 77581034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138260602880).

77581034496 is an abundant number, since it is smaller than the sum of its proper divisors (198940171264).

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

77581034496 is a wasteful number, since it uses less digits than its factorization.

77581034496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77581034496 in words is "seventy-seven billion, five hundred eighty-one million, thirty-four thousand, four hundred ninety-six".