63981527400 has 480 divisors, whose sum is σ = 256384751040. Its totient is φ = 14484925440.

The previous prime is 63981527339. The next prime is 63981527411. The reversal of 63981527400 is 472518936.

63981527400 is a `hidden beast` number, since 6 + 3 + 9 + 81 + 527 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12131164 + ... + 12136436.

It is an arithmetic number, because the mean of its divisors is an integer number (534134898).

It is a 2-persistent number, because it is pandigital, and so is 2⋅63981527400 = 127963054800, but 3⋅63981527400 = 191944582200 is not.

Almost surely, 2^63981527400 is an apocalyptic number.

63981527400 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 63981527400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128192375520).

63981527400 is an abundant number, since it is smaller than the sum of its proper divisors (192403223640).

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

63981527400 is a wasteful number, since it uses less digits than its factorization.

63981527400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 63981527400 in words is "sixty-three billion, nine hundred eighty-one million, five hundred twenty-seven thousand, four hundred".