1632362490864 has 800 divisors, whose sum is σ = 5922812915712. Its totient is φ = 423263232000.

The previous prime is 1632362490827. The next prime is 1632362490943. The reversal of 1632362490864 is 4680942632361.

1632362490864 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 3 + 624 + 9 + 0 + 8 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1632362490864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2012777019 + ... + 2012777829.

Almost surely, 2^{1632362490864} is an apocalyptic number.

1632362490864 is a gapful number since it is divisible by the number (14) 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 1632362490864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961406457856).

1632362490864 is an abundant number, since it is smaller than the sum of its proper divisors (4290450424848).

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

1632362490864 is a wasteful number, since it uses less digits than its factorization.

1632362490864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 1632362490864 in words is "one trillion, six hundred thirty-two billion, three hundred sixty-two million, four hundred ninety thousand, eight hundred sixty-four".