7622643600 has 1080 divisors, whose sum is σ = 33579984672. Its totient is φ = 1581465600.

The previous prime is 7622643571. The next prime is 7622643607. The reversal of 7622643600 is 63462267.

It is a happy number.

7622643600 is a `hidden beast` number, since 7 + 6 + 2 + 2 + 6 + 43 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7622643607) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 113770767 + ... + 113770833.

Almost surely, 2^7622643600 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 7622643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16789992336).

7622643600 is an abundant number, since it is smaller than the sum of its proper divisors (25957341072).

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

7622643600 is a wasteful number, since it uses less digits than its factorization.

7622643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7622643600 is about 87307.7522331207. The cubic root of 7622643600 is about 1968.0458173945.

The spelling of 7622643600 in words is "seven billion, six hundred twenty-two million, six hundred forty-three thousand, six hundred".