6078133440 has 336 divisors, whose sum is σ = 22141098720. Its totient is φ = 1526169600.

The previous prime is 6078133429. The next prime is 6078133441. The reversal of 6078133440 is 443318706.

6078133440 is a `hidden beast` number, since 607 + 8 + 1 + 3 + 3 + 4 + 40 = 666.

It is a super-2 number, since 2×6078133440² = 73887412228892467200, which contains 22 as substring.

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 = 6078133395 and 6078133404.

It is not an unprimeable number, because it can be changed into a prime (6078133441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15157240 + ... + 15157640.

Almost surely, 2^6078133440 is an apocalyptic number.

6078133440 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 6078133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070549360).

6078133440 is an abundant number, since it is smaller than the sum of its proper divisors (16062965280).

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

6078133440 is a wasteful number, since it uses less digits than its factorization.

6078133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6078133440 is about 77962.3847762496. The cubic root of 6078133440 is about 1824.9742602237.

The spelling of 6078133440 in words is "six billion, seventy-eight million, one hundred thirty-three thousand, four hundred forty".