77137742465574 has 64 divisors (see below), whose sum is σ = 178789334914560. Its totient is φ = 21730243196160.

The previous prime is 77137742465569. The next prime is 77137742465587. The reversal of 77137742465574 is 47556424773177.

It is a junction number, because it is equal to n+sod(n) for n = 77137742465499 and 77137742465508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5089464 + ... + 13423044.

It is an arithmetic number, because the mean of its divisors is an integer number (2793583358040).

Almost surely, 2^{77137742465574} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77137742465574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89394667457280).

77137742465574 is an abundant number, since it is smaller than the sum of its proper divisors (101651592448986).

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

77137742465574 is a wasteful number, since it uses less digits than its factorization.

77137742465574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336685.

The product of its digits is 968083200, while the sum is 69.

The spelling of 77137742465574 in words is "seventy-seven trillion, one hundred thirty-seven billion, seven hundred forty-two million, four hundred sixty-five thousand, five hundred seventy-four".