351320729760 has 3072 divisors, whose sum is σ = 1799652556800. Its totient is φ = 62347345920.

The previous prime is 351320729759. The next prime is 351320729821. The reversal of 351320729760 is 67927023153.

351320729760 is a `hidden beast` number, since 3 + 513 + 2 + 0 + 72 + 9 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5954588611 + ... + 5954588669.

It is an arithmetic number, because the mean of its divisors is an integer number (585824400).

Almost surely, 2^351320729760 is an apocalyptic number.

351320729760 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 351320729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899826278400).

351320729760 is an abundant number, since it is smaller than the sum of its proper divisors (1448331827040).

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

351320729760 is a wasteful number, since it uses less digits than its factorization.

351320729760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 351320729760 in words is "three hundred fifty-one billion, three hundred twenty million, seven hundred twenty-nine thousand, seven hundred sixty".