63749444774400 has 2400 divisors, whose sum is σ = 303661524418560. Its totient is φ = 12818829312000.

The previous prime is 63749444774399. The next prime is 63749444774453. The reversal of 63749444774400 is 447744494736.

63749444774400 is a `hidden beast` number, since 6 + 3 + 74 + 94 + 4 + 4 + 7 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-4 number, since 4×63749444774400⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2474828721 + ... + 2474854479.

Almost surely, 2^{63749444774400} is an apocalyptic number.

63749444774400 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 63749444774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151830762209280).

63749444774400 is an abundant number, since it is smaller than the sum of its proper divisors (239912079644160).

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

63749444774400 is a wasteful number, since it uses less digits than its factorization.

63749444774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25848 (or 25818 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 63.

The spelling of 63749444774400 in words is "sixty-three trillion, seven hundred forty-nine billion, four hundred forty-four million, seven hundred seventy-four thousand, four hundred".