63749557972800 has 1260 divisors, whose sum is σ = 279880080033996. Its totient is φ = 13714064179200.

The previous prime is 63749557972769. The next prime is 63749557972801. The reversal of 63749557972800 is 827975594736.

63749557972800 is a `hidden beast` number, since 6 + 3 + 7 + 49 + 5 + 579 + 7 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2939880593664 + 60809677379136 = 1714608^2 + 7798056^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×63749557972800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63749557972801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 587710570 + ... + 587819030.

Almost surely, 2^{63749557972800} is an apocalyptic number.

63749557972800 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 63749557972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139940040016998).

63749557972800 is an abundant number, since it is smaller than the sum of its proper divisors (216130522061196).

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

63749557972800 is a wasteful number, since it uses less digits than its factorization.

63749557972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108534 (or 108495 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 63749557972800 in words is "sixty-three trillion, seven hundred forty-nine billion, five hundred fifty-seven million, nine hundred seventy-two thousand, eight hundred".