6716057040 has 720 divisors, whose sum is σ = 29524360320. Its totient is φ = 1329039360.

The previous prime is 6716057027. The next prime is 6716057071. The reversal of 6716057040 is 407506176.

6716057040 is a `hidden beast` number, since 6 + 7 + 1 + 605 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 6716056986 and 6716057004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29327646 + ... + 29327874.

It is an arithmetic number, because the mean of its divisors is an integer number (41006056).

Almost surely, 2^6716057040 is an apocalyptic number.

6716057040 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 6716057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14762180160).

6716057040 is an abundant number, since it is smaller than the sum of its proper divisors (22808303280).

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

6716057040 is a wasteful number, since it uses less digits than its factorization.

6716057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6716057040 is about 81951.5530054190. The cubic root of 6716057040 is about 1886.7084389913.

The spelling of 6716057040 in words is "six billion, seven hundred sixteen million, fifty-seven thousand, forty".