350713774080 has 768 divisors, whose sum is σ = 1319071703040. Its totient is φ = 89223856128.

The previous prime is 350713774079. The next prime is 350713774127. The reversal of 350713774080 is 80477317053.

350713774080 is a `hidden beast` number, since 3 + 507 + 137 + 7 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915701569 + ... + 915701951.

It is an arithmetic number, because the mean of its divisors is an integer number (1717541280).

Almost surely, 2^350713774080 is an apocalyptic number.

350713774080 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 350713774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659535851520).

350713774080 is an abundant number, since it is smaller than the sum of its proper divisors (968357928960).

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

350713774080 is an frugal number, since it uses more digits than its factorization.

350713774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 350713774080 in words is "three hundred fifty billion, seven hundred thirteen million, seven hundred seventy-four thousand, eighty".