63079511040 has 1056 divisors, whose sum is σ = 275391916800. Its totient is φ = 13265731584.

The previous prime is 63079510981. The next prime is 63079511057. The reversal of 63079511040 is 4011597036.

63079511040 is a `hidden beast` number, since 6 + 30 + 79 + 511 + 0 + 40 = 666.

63079511040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 63079510986 and 63079511004.

It is a congruent number.

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, 205470567 + ... + 205470873.

It is an arithmetic number, because the mean of its divisors is an integer number (260787800).

Almost surely, 2^63079511040 is an apocalyptic number.

63079511040 is a gapful number since it is divisible by the number (60) 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 63079511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137695958400).

63079511040 is an abundant number, since it is smaller than the sum of its proper divisors (212312405760).

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

63079511040 is a wasteful number, since it uses less digits than its factorization.

63079511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 63079511040 in words is "sixty-three billion, seventy-nine million, five hundred eleven thousand, forty".