334130678640 has 320 divisors, whose sum is σ = 1258783718400. Its totient is φ = 80790912000.

The previous prime is 334130678611. The next prime is 334130678663. The reversal of 334130678640 is 46876031433.

334130678640 is a `hidden beast` number, since 334 + 1 + 306 + 7 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×334130678640² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 9224565 + ... + 9260715.

It is an arithmetic number, because the mean of its divisors is an integer number (3933699120).

Almost surely, 2^334130678640 is an apocalyptic number.

334130678640 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 334130678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629391859200).

334130678640 is an abundant number, since it is smaller than the sum of its proper divisors (924653039760).

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

334130678640 is a wasteful number, since it uses less digits than its factorization.

334130678640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36573 (or 36561 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 334130678640 in words is "three hundred thirty-four billion, one hundred thirty million, six hundred seventy-eight thousand, six hundred forty".