63753480 has 192 divisors, whose sum is σ = 245831040. Its totient is φ = 14556672.

The previous prime is 63753467. The next prime is 63753491. The reversal of 63753480 is 8435736.

It is a happy number.

It is a super-2 number, since 2×63753480² = 8129012424220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67572 + ... + 68508.

It is an arithmetic number, because the mean of its divisors is an integer number (1280370).

It is a vampire number, since it can be written as 7560 ⋅ 8433 (with its own digits).

Almost surely, 2^63753480 is an apocalyptic number.

63753480 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 63753480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

63753480 is an abundant number, since it is smaller than the sum of its proper divisors (182077560).

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

63753480 is a wasteful number, since it uses less digits than its factorization.

63753480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 63753480 is about 7984.5776344150. The cubic root of 63753480 is about 399.4857558323.

The spelling of 63753480 in words is "sixty-three million, seven hundred fifty-three thousand, four hundred eighty".