77275492245504 has 3136 divisors, whose sum is σ = 303237848793600. Its totient is φ = 19153104666624.

The previous prime is 77275492245503. The next prime is 77275492245551. The reversal of 77275492245504 is 40554229457277.

77275492245504 is a `hidden beast` number, since 7 + 7 + 2 + 7 + 54 + 9 + 2 + 24 + 550 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77275492245503) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 796654559184 + ... + 796654559280.

It is an arithmetic number, because the mean of its divisors is an integer number (96695742600).

Almost surely, 2^{77275492245504} 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 77275492245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151618924396800).

77275492245504 is an abundant number, since it is smaller than the sum of its proper divisors (225962356548096).

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

77275492245504 is an equidigital number, since it uses as much as digits as its factorization.

77275492245504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 197568000, while the sum is 63.

The spelling of 77275492245504 in words is "seventy-seven trillion, two hundred seventy-five billion, four hundred ninety-two million, two hundred forty-five thousand, five hundred four".