397635053760 has 1008 divisors, whose sum is σ = 1675790887680. Its totient is φ = 84753285120.

The previous prime is 397635053741. The next prime is 397635053801. The reversal of 397635053760 is 67350536793.

397635053760 is a `hidden beast` number, since 3 + 9 + 7 + 63 + 505 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×397635053760² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 397635053697 and 397635053706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 809847115 + ... + 809847605.

It is an arithmetic number, because the mean of its divisors is an integer number (1662490960).

Almost surely, 2^397635053760 is an apocalyptic number.

397635053760 is a gapful number since it is divisible by the number (30) 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 397635053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837895443840).

397635053760 is an abundant number, since it is smaller than the sum of its proper divisors (1278155833920).

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

397635053760 is a wasteful number, since it uses less digits than its factorization.

397635053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 54.

The spelling of 397635053760 in words is "three hundred ninety-seven billion, six hundred thirty-five million, fifty-three thousand, seven hundred sixty".