334168076912640 has 384 divisors, whose sum is σ = 1074851155123200. Its totient is φ = 88630976839680.

The previous prime is 334168076912599. The next prime is 334168076912771. The reversal of 334168076912640 is 46219670861433.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×334168076912640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6971542114 + ... + 6971590046.

It is an arithmetic number, because the mean of its divisors is an integer number (2799091549800).

Almost surely, 2^{334168076912640} is an apocalyptic number.

334168076912640 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 334168076912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537425577561600).

334168076912640 is an abundant number, since it is smaller than the sum of its proper divisors (740683078210560).

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

334168076912640 is a wasteful number, since it uses less digits than its factorization.

334168076912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49183 (or 49163 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 334168076912640 in words is "three hundred thirty-four trillion, one hundred sixty-eight billion, seventy-six million, nine hundred twelve thousand, six hundred forty".