1630771564032 has 800 divisors, whose sum is σ = 5571126237600. Its totient is φ = 471212163072.

The previous prime is 1630771564021. The next prime is 1630771564049. The reversal of 1630771564032 is 2304651770361.

1630771564032 is a `hidden beast` number, since 1 + 630 + 7 + 7 + 1 + 5 + 6 + 4 + 0 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 578491519 + ... + 578494337.

It is an arithmetic number, because the mean of its divisors is an integer number (6963907797).

Almost surely, 2^{1630771564032} is an apocalyptic number.

1630771564032 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 1630771564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785563118800).

1630771564032 is an abundant number, since it is smaller than the sum of its proper divisors (3940354673568).

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

1630771564032 is a wasteful number, since it uses less digits than its factorization.

1630771564032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1630771564032 in words is "one trillion, six hundred thirty billion, seven hundred seventy-one million, five hundred sixty-four thousand, thirty-two".