7420641600 has 168 divisors, whose sum is σ = 24386974848. Its totient is φ = 1975500800.

The previous prime is 7420641587. The next prime is 7420641607. The reversal of 7420641600 is 61460247.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7420641607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4371952 + ... + 4373648.

Almost surely, 2^7420641600 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 7420641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193487424).

7420641600 is an abundant number, since it is smaller than the sum of its proper divisors (16966333248).

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

7420641600 is a wasteful number, since it uses less digits than its factorization.

7420641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7420641600 is about 86143.1459838796. The cubic root of 7420641600 is about 1950.5053785437.

The spelling of 7420641600 in words is "seven billion, four hundred twenty million, six hundred forty-one thousand, six hundred".