6046734240 has 336 divisors, whose sum is σ = 21893856768. Its totient is φ = 1576723968.

The previous prime is 6046734223. The next prime is 6046734283. The reversal of 6046734240 is 424376406.

6046734240 is a `hidden beast` number, since 604 + 6 + 7 + 3 + 4 + 2 + 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 = 6046734195 and 6046734204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5481529 + ... + 5482631.

It is an arithmetic number, because the mean of its divisors is an integer number (65160288).

Almost surely, 2^6046734240 is an apocalyptic number.

6046734240 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 6046734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946928384).

6046734240 is an abundant number, since it is smaller than the sum of its proper divisors (15847122528).

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

6046734240 is a wasteful number, since it uses less digits than its factorization.

6046734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6046734240 is about 77760.7499963831. The cubic root of 6046734240 is about 1821.8262713190.

The spelling of 6046734240 in words is "six billion, forty-six million, seven hundred thirty-four thousand, two hundred forty".