7267604040 has 384 divisors, whose sum is σ = 26714188800. Its totient is φ = 1749565440.

The previous prime is 7267604039. The next prime is 7267604191. The reversal of 7267604040 is 404067627.

7267604040 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 604 + 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 = 7267603986 and 7267604004.

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, 64315024 + ... + 64315136.

It is an arithmetic number, because the mean of its divisors is an integer number (69568200).

Almost surely, 2^7267604040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7267604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13357094400).

7267604040 is an abundant number, since it is smaller than the sum of its proper divisors (19446584760).

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

7267604040 is a wasteful number, since it uses less digits than its factorization.

7267604040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7267604040 is about 85250.2436360155. The cubic root of 7267604040 is about 1937.0035614124.

The spelling of 7267604040 in words is "seven billion, two hundred sixty-seven million, six hundred four thousand, forty".