663037420032 has 720 divisors, whose sum is σ = 2188975396608. Its totient is φ = 191819612160.

The previous prime is 663037420021. The next prime is 663037420069. The reversal of 663037420032 is 230024730366.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9082704348 + ... + 9082704420.

Almost surely, 2^663037420032 is an apocalyptic number.

663037420032 is a gapful number since it is divisible by the number (62) 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 663037420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094487698304).

663037420032 is an abundant number, since it is smaller than the sum of its proper divisors (1525937976576).

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

663037420032 is a wasteful number, since it uses less digits than its factorization.

663037420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 663037420032 in words is "six hundred sixty-three billion, thirty-seven million, four hundred twenty thousand, thirty-two".