77505742457136 has 480 divisors, whose sum is σ = 274063396320000. Its totient is φ = 20838191818752.

The previous prime is 77505742457093. The next prime is 77505742457147. The reversal of 77505742457136 is 63175424750577.

77505742457136 is a `hidden beast` number, since 7 + 7 + 5 + 0 + 5 + 7 + 4 + 24 + 571 + 36 = 666.

It is a super-2 number, since 2×77505742457136² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2482630935 + ... + 2482662153.

It is an arithmetic number, because the mean of its divisors is an integer number (570965409000).

Almost surely, 2^{77505742457136} 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 77505742457136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137031698160000).

77505742457136 is an abundant number, since it is smaller than the sum of its proper divisors (196557653862864).

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

77505742457136 is a wasteful number, since it uses less digits than its factorization.

77505742457136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38166 (or 38147 counting only the distinct ones).

The product of its (nonzero) digits is 172872000, while the sum is 63.

The spelling of 77505742457136 in words is "seventy-seven trillion, five hundred five billion, seven hundred forty-two million, four hundred fifty-seven thousand, one hundred thirty-six".