6715463040 has 768 divisors, whose sum is σ = 28229160960. Its totient is φ = 1448755200.

The previous prime is 6715463011. The next prime is 6715463081. The reversal of 6715463040 is 403645176.

It is a happy number.

6715463040 is a `hidden beast` number, since 6 + 7 + 15 + 4 + 630 + 4 + 0 = 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 = 6715462986 and 6715463004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25533949 + ... + 25534211.

It is an arithmetic number, because the mean of its divisors is an integer number (36756720).

Almost surely, 2^6715463040 is an apocalyptic number.

6715463040 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 6715463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114580480).

6715463040 is an abundant number, since it is smaller than the sum of its proper divisors (21513697920).

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

6715463040 is a wasteful number, since it uses less digits than its factorization.

6715463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6715463040 is about 81947.9288328875. The cubic root of 6715463040 is about 1886.6528141979.

The spelling of 6715463040 in words is "six billion, seven hundred fifteen million, four hundred sixty-three thousand, forty".