63444283007040 has 896 divisors, whose sum is σ = 246561519697920. Its totient is φ = 15262600421376.

The previous prime is 63444283007009. The next prime is 63444283007089. The reversal of 63444283007040 is 4070038244436.

63444283007040 is a `hidden beast` number, since 63 + 4 + 442 + 83 + 0 + 0 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 955697689 + ... + 955764071.

It is an arithmetic number, because the mean of its divisors is an integer number (275180267520).

Almost surely, 2^{63444283007040} is an apocalyptic number.

63444283007040 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 63444283007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123280759848960).

63444283007040 is an abundant number, since it is smaller than the sum of its proper divisors (183117236690880).

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

63444283007040 is a wasteful number, since it uses less digits than its factorization.

63444283007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66616 (or 66600 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 63444283007040 in words is "sixty-three trillion, four hundred forty-four billion, two hundred eighty-three million, seven thousand, forty".