7649223242040 has 640 divisors, whose sum is σ = 27230282956800. Its totient is φ = 1923194327040.

The previous prime is 7649223242029. The next prime is 7649223242047. The reversal of 7649223242040 is 402423229467.

It is a happy number.

7649223242040 is a `hidden beast` number, since 76 + 4 + 92 + 2 + 32 + 420 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7649223242047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 669627769 + ... + 669639191.

It is an arithmetic number, because the mean of its divisors is an integer number (42547317120).

Almost surely, 2^{7649223242040} 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 7649223242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615141478400).

7649223242040 is an abundant number, since it is smaller than the sum of its proper divisors (19581059714760).

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

7649223242040 is a wasteful number, since it uses less digits than its factorization.

7649223242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 7649223242040 in words is "seven trillion, six hundred forty-nine billion, two hundred twenty-three million, two hundred forty-two thousand, forty".