77207296731642 has 192 divisors, whose sum is σ = 208880542450944. Its totient is φ = 20023033835520.

The previous prime is 77207296731641. The next prime is 77207296731647. The reversal of 77207296731642 is 24613769270277.

77207296731642 is a `hidden beast` number, since 7 + 7 + 20 + 7 + 296 + 7 + 316 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 77207296731642.

It is not an unprimeable number, because it can be changed into a prime (77207296731641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5122217418 + ... + 5122232490.

It is an arithmetic number, because the mean of its divisors is an integer number (1087919491932).

Almost surely, 2^{77207296731642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77207296731642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104440271225472).

77207296731642 is an abundant number, since it is smaller than the sum of its proper divisors (131673245719302).

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

77207296731642 is a wasteful number, since it uses less digits than its factorization.

77207296731642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20533 (or 20530 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 77207296731642 in words is "seventy-seven trillion, two hundred seven billion, two hundred ninety-six million, seven hundred thirty-one thousand, six hundred forty-two".