77641347074000 has 40 divisors (see below), whose sum is σ = 187736777229768. Its totient is φ = 31056538828800.

The previous prime is 77641347073999. The next prime is 77641347074113. The reversal of 77641347074000 is 47074314677.

It can be written as a sum of positive squares in 4 ways, for example, as 394615137856 + 77246731936144 = 628184^2 + 8789012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×77641347074000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 77641347074000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19410334769 + ... + 19410338768.

Almost surely, 2^{77641347074000} is an apocalyptic number.

It is an amenable number.

77641347074000 is an abundant number, since it is smaller than the sum of its proper divisors (110095430155768).

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

77641347074000 is a wasteful number, since it uses less digits than its factorization.

77641347074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38820673560 (or 38820673544 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 50.

The spelling of 77641347074000 in words is "seventy-seven trillion, six hundred forty-one billion, three hundred forty-seven million, seventy-four thousand".