77046107140000 has 240 divisors, whose sum is σ = 194706242283168. Its totient is φ = 29979593856000.

The previous prime is 77046107139943. The next prime is 77046107140007. The reversal of 77046107140000 is 4170164077.

It is a super-2 number, since 2×77046107140000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (77046107140007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6709574259 + ... + 6709585741.

Almost surely, 2^{77046107140000} 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 77046107140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97353121141584).

77046107140000 is an abundant number, since it is smaller than the sum of its proper divisors (117660135143168).

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

77046107140000 is a wasteful number, since it uses less digits than its factorization.

77046107140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20617 (or 20594 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 77046107140000 in words is "seventy-seven trillion, forty-six billion, one hundred seven million, one hundred forty thousand".