53672791680 has 768 divisors, whose sum is σ = 208410602400. Its totient is φ = 12661555200.

The previous prime is 53672791673. The next prime is 53672791717. The reversal of 53672791680 is 8619727635.

53672791680 is a `hidden beast` number, since 5 + 367 + 279 + 1 + 6 + 8 + 0 = 666.

53672791680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 621804096 + 53050987584 = 24936^2 + 230328^2 .

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, 116426650 + ... + 116427110.

Almost surely, 2^53672791680 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 53672791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104205301200).

53672791680 is an abundant number, since it is smaller than the sum of its proper divisors (154737810720).

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

53672791680 is a wasteful number, since it uses less digits than its factorization.

53672791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 53672791680 in words is "fifty-three billion, six hundred seventy-two million, seven hundred ninety-one thousand, six hundred eighty".