77350746564 has 144 divisors (see below), whose sum is σ = 243944052352. Its totient is φ = 20120679936.

The previous prime is 77350746547. The next prime is 77350746587. The reversal of 77350746564 is 46564705377.

It is a happy number.

77350746564 is a `hidden beast` number, since 7 + 7 + 3 + 5 + 0 + 74 + 6 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 77350746564.

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, 77427 + ... + 400869.

Almost surely, 2^77350746564 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 77350746564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121972026176).

77350746564 is an abundant number, since it is smaller than the sum of its proper divisors (166593305788).

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

77350746564 is a wasteful number, since it uses less digits than its factorization.

77350746564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323546 (or 323541 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 77350746564 in words is "seventy-seven billion, three hundred fifty million, seven hundred forty-six thousand, five hundred sixty-four".