350664172837776 has 240 divisors, whose sum is σ = 1158367359172608. Its totient is φ = 96905998252800.

The previous prime is 350664172837763. The next prime is 350664172837793. The reversal of 350664172837776 is 677738271466053.

350664172837776 is a `hidden beast` number, since 3 + 5 + 0 + 66 + 417 + 2 + 83 + 7 + 7 + 76 = 666.

It is a super-2 number, since 2×350664172837776² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55466085 + ... + 61463931.

Almost surely, 2^{350664172837776} is an apocalyptic number.

350664172837776 is a gapful number since it is divisible by the number (36) 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 350664172837776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579183679586304).

350664172837776 is an abundant number, since it is smaller than the sum of its proper divisors (807703186334832).

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

350664172837776 is a wasteful number, since it uses less digits than its factorization.

350664172837776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999770 (or 5999761 counting only the distinct ones).

The product of its (nonzero) digits is 1493614080, while the sum is 72.

The spelling of 350664172837776 in words is "three hundred fifty trillion, six hundred sixty-four billion, one hundred seventy-two million, eight hundred thirty-seven thousand, seven hundred seventy-six".