6265607040 has 1024 divisors, whose sum is σ = 29399500800. Its totient is φ = 1220935680.

The previous prime is 6265606979. The next prime is 6265607071. The reversal of 6265607040 is 407065626.

6265607040 is a `hidden beast` number, since 6 + 2 + 6 + 5 + 607 + 0 + 40 = 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 = 6265606986 and 6265607004.

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, 22619382 + ... + 22619658.

It is an arithmetic number, because the mean of its divisors is an integer number (28710450).

Almost surely, 2^6265607040 is an apocalyptic number.

6265607040 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 6265607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699750400).

6265607040 is an abundant number, since it is smaller than the sum of its proper divisors (23133893760).

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

6265607040 is a wasteful number, since it uses less digits than its factorization.

6265607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

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

The square root of 6265607040 is about 79155.5875475636. The cubic root of 6265607040 is about 1843.5477235681.

The spelling of 6265607040 in words is "six billion, two hundred sixty-five million, six hundred seven thousand, forty".