351634445569680 has 960 divisors, whose sum is σ = 1418783692603392. Its totient is φ = 70442977812480.

The previous prime is 351634445569621. The next prime is 351634445569681. The reversal of 351634445569680 is 86965544436153.

It is a super-2 number, since 2×351634445569680² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (351634445569681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 466103659 + ... + 466857461.

Almost surely, 2^{351634445569680} is an apocalyptic number.

351634445569680 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 351634445569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709391846301696).

351634445569680 is an abundant number, since it is smaller than the sum of its proper divisors (1067149247033712).

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

351634445569680 is a wasteful number, since it uses less digits than its factorization.

351634445569680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753936 (or 753917 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 69.

The spelling of 351634445569680 in words is "three hundred fifty-one trillion, six hundred thirty-four billion, four hundred forty-five million, five hundred sixty-nine thousand, six hundred eighty".