334773260640 has 1728 divisors, whose sum is σ = 1509320397312. Its totient is φ = 66886041600.

The previous prime is 334773260617. The next prime is 334773260659. The reversal of 334773260640 is 46062377433.

334773260640 is a `hidden beast` number, since 3 + 3 + 4 + 7 + 7 + 32 + 606 + 4 + 0 = 666.

It is a super-2 number, since 2×334773260640² (a number of 24 digits) contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1734576384 + ... + 1734576576.

It is an arithmetic number, because the mean of its divisors is an integer number (873449304).

Almost surely, 2^334773260640 is an apocalyptic number.

334773260640 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 334773260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754660198656).

334773260640 is an abundant number, since it is smaller than the sum of its proper divisors (1174547136672).

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

334773260640 is a wasteful number, since it uses less digits than its factorization.

334773260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 334773260640 in words is "three hundred thirty-four billion, seven hundred seventy-three million, two hundred sixty thousand, six hundred forty".