63297165137040 has 640 divisors, whose sum is σ = 231608321118720. Its totient is φ = 15834139656192.

The previous prime is 63297165137027. The next prime is 63297165137053. The reversal of 63297165137040 is 4073156179236.

63297165137040 is a `hidden beast` number, since 6 + 3 + 2 + 9 + 7 + 16 + 513 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (63297165137027) and next prime (63297165137053).

It is a super-2 number, since 2×63297165137040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 26629012332 + ... + 26629014708.

It is an arithmetic number, because the mean of its divisors is an integer number (361888001748).

Almost surely, 2^{63297165137040} is an apocalyptic number.

63297165137040 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 63297165137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115804160559360).

63297165137040 is an abundant number, since it is smaller than the sum of its proper divisors (168311155981680).

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

63297165137040 is a wasteful number, since it uses less digits than its factorization.

63297165137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 63297165137040 in words is "sixty-three trillion, two hundred ninety-seven billion, one hundred sixty-five million, one hundred thirty-seven thousand, forty".