7623252672 has 224 divisors, whose sum is σ = 24258178560. Its totient is φ = 2066964480.

The previous prime is 7623252671. The next prime is 7623252691. The reversal of 7623252672 is 2762523267.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×7623252672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7623252671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2036979 + ... + 2040717.

It is an arithmetic number, because the mean of its divisors is an integer number (108295440).

Almost surely, 2^7623252672 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 7623252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129089280).

7623252672 is an abundant number, since it is smaller than the sum of its proper divisors (16634925888).

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

7623252672 is a wasteful number, since it uses less digits than its factorization.

7623252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3829 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 7623252672 is about 87311.2402385855. The cubic root of 7623252672 is about 1968.0982335789.

The spelling of 7623252672 in words is "seven billion, six hundred twenty-three million, two hundred fifty-two thousand, six hundred seventy-two".