351540672768 has 648 divisors, whose sum is σ = 1165558459520. Its totient is φ = 101523456000.

The previous prime is 351540672713. The next prime is 351540672773. The reversal of 351540672768 is 867276045153.

351540672768 is a `hidden beast` number, since 3 + 515 + 4 + 0 + 67 + 2 + 7 + 68 = 666.

It is a super-2 number, since 2×351540672768² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468096393 + ... + 468097143.

Almost surely, 2^351540672768 is an apocalyptic number.

351540672768 is a gapful number since it is divisible by the number (38) 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 351540672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582779229760).

351540672768 is an abundant number, since it is smaller than the sum of its proper divisors (814017786752).

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

351540672768 is a wasteful number, since it uses less digits than its factorization.

351540672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 351540672768 in words is "three hundred fifty-one billion, five hundred forty million, six hundred seventy-two thousand, seven hundred sixty-eight".