63613764720 has 1120 divisors, whose sum is σ = 270500186880. Its totient is φ = 13705666560.

The previous prime is 63613764719. The next prime is 63613764751. The reversal of 63613764720 is 2746731636.

63613764720 is a `hidden beast` number, since 6 + 3 + 613 + 7 + 6 + 4 + 7 + 20 = 666.

63613764720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63613764720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 207210807 + ... + 207211113.

It is an arithmetic number, because the mean of its divisors is an integer number (241518024).

Almost surely, 2^63613764720 is an apocalyptic number.

63613764720 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 63613764720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135250093440).

63613764720 is an abundant number, since it is smaller than the sum of its proper divisors (206886422160).

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

63613764720 is a wasteful number, since it uses less digits than its factorization.

63613764720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 63613764720 in words is "sixty-three billion, six hundred thirteen million, seven hundred sixty-four thousand, seven hundred twenty".