77470113600 has 504 divisors, whose sum is σ = 316200312480. Its totient is φ = 17791488000.

The previous prime is 77470113563. The next prime is 77470113689. The reversal of 77470113600 is 631107477.

77470113600 is a `hidden beast` number, since 7 + 7 + 47 + 0 + 1 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2996730 + ... + 3022470.

Almost surely, 2^77470113600 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 77470113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158100156240).

77470113600 is an abundant number, since it is smaller than the sum of its proper divisors (238730198880).

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

77470113600 is a wasteful number, since it uses less digits than its factorization.

77470113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25799 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 77470113600 in words is "seventy-seven billion, four hundred seventy million, one hundred thirteen thousand, six hundred".