77322464049600 has 1260 divisors, whose sum is σ = 360677622107880. Its totient is φ = 16066991001600.

The previous prime is 77322464049577. The next prime is 77322464049613. The reversal of 77322464049600 is 694046422377.

77322464049600 is a `hidden beast` number, since 7 + 7 + 3 + 2 + 24 + 6 + 4 + 0 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 69300946 + ... + 70407854.

It is an arithmetic number, because the mean of its divisors is an integer number (286252081038).

Almost surely, 2^{77322464049600} is an apocalyptic number.

77322464049600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77322464049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180338811053940).

77322464049600 is an abundant number, since it is smaller than the sum of its proper divisors (283355158058280).

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

77322464049600 is a wasteful number, since it uses less digits than its factorization.

77322464049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106968 (or 1106937 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 77322464049600 in words is "seventy-seven trillion, three hundred twenty-two billion, four hundred sixty-four million, forty-nine thousand, six hundred".