63073507680 has 576 divisors, whose sum is σ = 235962574848. Its totient is φ = 15885434880.

The previous prime is 63073507663. The next prime is 63073507691. The reversal of 63073507680 is 8670537036.

63073507680 is a `hidden beast` number, since 63 + 0 + 7 + 3 + 507 + 6 + 80 = 666.

It is a super-3 number, since 3×63073507680³ (a number of 33 digits) contains 333 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 95 ways as a sum of consecutive naturals, for example, 51826432 + ... + 51827648.

It is an arithmetic number, because the mean of its divisors is an integer number (409657248).

Almost surely, 2^63073507680 is an apocalyptic number.

63073507680 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 63073507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117981287424).

63073507680 is an abundant number, since it is smaller than the sum of its proper divisors (172889067168).

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

63073507680 is a wasteful number, since it uses less digits than its factorization.

63073507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 63073507680 in words is "sixty-three billion, seventy-three million, five hundred seven thousand, six hundred eighty".