1630793388672 has 672 divisors, whose sum is σ = 5726285519220. Its totient is φ = 461012041728.

The previous prime is 1630793388659. The next prime is 1630793388751. The reversal of 1630793388672 is 2768833970361.

1630793388672 is a `hidden beast` number, since 163 + 0 + 7 + 93 + 388 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1601601615936 + 29191772736 = 1265544^2 + 170856^2 .

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 443510098 + ... + 443513774.

Almost surely, 2^{1630793388672} is an apocalyptic number.

1630793388672 is a gapful number since it is divisible by the number (12) 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 1630793388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863142759610).

1630793388672 is an abundant number, since it is smaller than the sum of its proper divisors (4095492130548).

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

1630793388672 is an frugal number, since it uses more digits than its factorization.

1630793388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 1630793388672 in words is "one trillion, six hundred thirty billion, seven hundred ninety-three million, three hundred eighty-eight thousand, six hundred seventy-two".