63274680 has 288 divisors, whose sum is σ = 254489040. Its totient is φ = 13547520.

The previous prime is 63274669. The next prime is 63274681. The reversal of 63274680 is 8647236.

63274680 = 42³ + 43³ + ... + 126³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63274681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299775 + ... + 299985.

Almost surely, 2^63274680 is an apocalyptic number.

63274680 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 63274680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127244520).

63274680 is an abundant number, since it is smaller than the sum of its proper divisors (191214360).

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

63274680 is a wasteful number, since it uses less digits than its factorization.

63274680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 63274680 is about 7954.5383272695. The cubic root of 63274680 is about 398.4831720194.

It can be divided in two parts, 6327 and 4680, that multiplied together give a triangular number (29610360 = T₇₆₉₅).

The spelling of 63274680 in words is "sixty-three million, two hundred seventy-four thousand, six hundred eighty".