63337338408960 has 1872 divisors, whose sum is σ = 287926598332800. Its totient is φ = 13160324136960.

The previous prime is 63337338408941. The next prime is 63337338408979. The reversal of 63337338408960 is 6980483373336.

It is a happy number.

63337338408960 is a `hidden beast` number, since 63 + 3 + 373 + 38 + 40 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (63337338408941) and next prime (63337338408979).

It is a super-2 number, since 2×63337338408960² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3278490181 + ... + 3278509499.

Almost surely, 2^{63337338408960} is an apocalyptic number.

63337338408960 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 63337338408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963299166400).

63337338408960 is an abundant number, since it is smaller than the sum of its proper divisors (224589259923840).

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

63337338408960 is a wasteful number, since it uses less digits than its factorization.

63337338408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19393 (or 19347 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 63337338408960 in words is "sixty-three trillion, three hundred thirty-seven billion, three hundred thirty-eight million, four hundred eight thousand, nine hundred sixty".