77048397504000 has 2400 divisors, whose sum is σ = 326305043640576. Its totient is φ = 17961888153600.

The previous prime is 77048397503999. The next prime is 77048397504007. The reversal of 77048397504000 is 40579384077.

77048397504000 is a `hidden beast` number, since 7 + 7 + 0 + 48 + 3 + 97 + 504 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77048397504007) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 24328510417 + ... + 24328513583.

Almost surely, 2^{77048397504000} 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 77048397504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163152521820288).

77048397504000 is an abundant number, since it is smaller than the sum of its proper divisors (249256646136576).

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

77048397504000 is a wasteful number, since it uses less digits than its factorization.

77048397504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 77048397504000 in words is "seventy-seven trillion, forty-eight billion, three hundred ninety-seven million, five hundred four thousand".