63274856400 has 1920 divisors, whose sum is σ = 295219200000. Its totient is φ = 12802406400.

The previous prime is 63274856327. The next prime is 63274856417. The reversal of 63274856400 is 465847236.

63274856400 is a `hidden beast` number, since 63 + 27 + 4 + 8 + 564 + 0 + 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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2041124385 + ... + 2041124415.

It is an arithmetic number, because the mean of its divisors is an integer number (153760000).

Almost surely, 2^63274856400 is an apocalyptic number.

63274856400 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 63274856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609600000).

63274856400 is an abundant number, since it is smaller than the sum of its proper divisors (231944343600).

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

63274856400 is a wasteful number, since it uses less digits than its factorization.

63274856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 63274856400 in words is "sixty-three billion, two hundred seventy-four million, eight hundred fifty-six thousand, four hundred".