7315056000 has 1024 divisors, whose sum is σ = 32078592000. Its totient is φ = 1603584000.

The previous prime is 7315055981. The next prime is 7315056013. The reversal of 7315056000 is 6505137.

7315056000 is a `hidden beast` number, since 7 + 3 + 1 + 50 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123983971 + ... + 123984029.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 2^7315056000 is an apocalyptic number.

7315056000 is a gapful number since it is divisible by the number (70) 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 7315056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296000).

7315056000 is an abundant number, since it is smaller than the sum of its proper divisors (24763536000).

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

7315056000 is a wasteful number, since it uses less digits than its factorization.

7315056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 7315056000 is about 85528.1006453435. The cubic root of 7315056000 is about 1941.2101423425.

It can be divided in two parts, 731505 and 6000, that added together give a triangular number (737505 = T₁₂₁₄).

The spelling of 7315056000 in words is "seven billion, three hundred fifteen million, fifty-six thousand".