6078315600 has 960 divisors, whose sum is σ = 26503303680. Its totient is φ = 1293926400.

The previous prime is 6078315599. The next prime is 6078315623. The reversal of 6078315600 is 65138706.

6078315600 is a `hidden beast` number, since 60 + 7 + 8 + 31 + 560 + 0 = 666.

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

It is a congruent number.

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, 114685174 + ... + 114685226.

It is an arithmetic number, because the mean of its divisors is an integer number (27607608).

Almost surely, 2^6078315600 is an apocalyptic number.

6078315600 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 6078315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251651840).

6078315600 is an abundant number, since it is smaller than the sum of its proper divisors (20424988080).

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

6078315600 is a wasteful number, since it uses less digits than its factorization.

6078315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6078315600 is about 77963.5530231915. The cubic root of 6078315600 is about 1824.9924913684.

The spelling of 6078315600 in words is "six billion, seventy-eight million, three hundred fifteen thousand, six hundred".