6334907040 has 1152 divisors, whose sum is σ = 29587783680. Its totient is φ = 1194393600.

The previous prime is 6334906987. The next prime is 6334907191. The reversal of 6334907040 is 407094336.

6334907040 is a `hidden beast` number, since 63 + 3 + 490 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6334906986 and 6334907004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65308272 + ... + 65308368.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 2^6334907040 is an apocalyptic number.

6334907040 is a gapful number since it is divisible by the number (60) 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 6334907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793891840).

6334907040 is an abundant number, since it is smaller than the sum of its proper divisors (23252876640).

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

6334907040 is a wasteful number, since it uses less digits than its factorization.

6334907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6334907040 is about 79592.1292591171. The cubic root of 6334907040 is about 1850.3195980593.

The spelling of 6334907040 in words is "six billion, three hundred thirty-four million, nine hundred seven thousand, forty".