63726025516800 has 864 divisors, whose sum is σ = 220744879423488. Its totient is φ = 16159431720960.

The previous prime is 63726025516789. The next prime is 63726025516817. The reversal of 63726025516800 is 861552062736.

It is a super-2 number, since 2×63726025516800² (a number of 28 digits) contains 22 as substring.

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, 97589625274 + ... + 97589625926.

It is an arithmetic number, because the mean of its divisors is an integer number (255491758592).

Almost surely, 2^{63726025516800} is an apocalyptic number.

63726025516800 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 63726025516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110372439711744).

63726025516800 is an abundant number, since it is smaller than the sum of its proper divisors (157018853906688).

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

63726025516800 is a wasteful number, since it uses less digits than its factorization.

63726025516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 63726025516800 in words is "sixty-three trillion, seven hundred twenty-six billion, twenty-five million, five hundred sixteen thousand, eight hundred".