7600649040 has 640 divisors, whose sum is σ = 29069568000. Its totient is φ = 1818464256.

The previous prime is 7600649029. The next prime is 7600649047. The reversal of 7600649040 is 409460067.

7600649040 is a `hidden beast` number, since 7 + 6 + 0 + 0 + 649 + 0 + 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 = 7600648986 and 7600649004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7600649047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104118444 + ... + 104118516.

It is an arithmetic number, because the mean of its divisors is an integer number (45421200).

Almost surely, 2^7600649040 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 7600649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534784000).

7600649040 is an abundant number, since it is smaller than the sum of its proper divisors (21468918960).

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

7600649040 is a wasteful number, since it uses less digits than its factorization.

7600649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7600649040 is about 87181.7012910393. The cubic root of 7600649040 is about 1966.1511115651.

The spelling of 7600649040 in words is "seven billion, six hundred million, six hundred forty-nine thousand, forty".