7652862720 has 288 divisors, whose sum is σ = 27510604800. Its totient is φ = 2014212096.

The previous prime is 7652862719. The next prime is 7652862727. The reversal of 7652862720 is 272682567.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7652862720² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7652862727) 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, 2728839 + ... + 2731641.

Almost surely, 2^7652862720 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 7652862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755302400).

7652862720 is an abundant number, since it is smaller than the sum of its proper divisors (19857742080).

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

7652862720 is a wasteful number, since it uses less digits than its factorization.

7652862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7652862720 is about 87480.6419729531. The cubic root of 7652862720 is about 1970.6430875643.

The spelling of 7652862720 in words is "seven billion, six hundred fifty-two million, eight hundred sixty-two thousand, seven hundred twenty".