77242237715106 has 80 divisors (see below), whose sum is σ = 182228516316000. Its totient is φ = 24387034295232.

The previous prime is 77242237715033. The next prime is 77242237715119. The reversal of 77242237715106 is 60151773224277.

77242237715106 is a `hidden beast` number, since 7 + 7 + 2 + 4 + 22 + 37 + 71 + 510 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11610661 + ... + 17008583.

It is an arithmetic number, because the mean of its divisors is an integer number (2277856453950).

Almost surely, 2^{77242237715106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77242237715106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91114258158000).

77242237715106 is an abundant number, since it is smaller than the sum of its proper divisors (104986278600894).

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

77242237715106 is a wasteful number, since it uses less digits than its factorization.

77242237715106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402605 (or 5402596 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 77242237715106 in words is "seventy-seven trillion, two hundred forty-two billion, two hundred thirty-seven million, seven hundred fifteen thousand, one hundred six".