7449643656 has 384 divisors, whose sum is σ = 26831952000. Its totient is φ = 1895975424.

The previous prime is 7449643631. The next prime is 7449643681. The reversal of 7449643656 is 6563469447.

It is a happy number.

7449643656 is a `hidden beast` number, since 74 + 4 + 96 + 436 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (7449643631) and next prime (7449643681).

It is a super-3 number, since 3×7449643656³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3989235 + ... + 3991101.

It is an arithmetic number, because the mean of its divisors is an integer number (69874875).

Almost surely, 2^7449643656 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 7449643656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415976000).

7449643656 is an abundant number, since it is smaller than the sum of its proper divisors (19382308344).

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

7449643656 is a wasteful number, since it uses less digits than its factorization.

7449643656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1921 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 7449643656 is about 86311.3182381083. The cubic root of 7449643656 is about 1953.0431254207.

The spelling of 7449643656 in words is "seven billion, four hundred forty-nine million, six hundred forty-three thousand, six hundred fifty-six".