7449876720 has 640 divisors, whose sum is σ = 30598041600. Its totient is φ = 1642291200.

The previous prime is 7449876719. The next prime is 7449876739. The reversal of 7449876720 is 276789447.

7449876720 is a `hidden beast` number, since 74 + 498 + 7 + 67 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27490185 + ... + 27490455.

It is an arithmetic number, because the mean of its divisors is an integer number (47809440).

Almost surely, 2^7449876720 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 7449876720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299020800).

7449876720 is an abundant number, since it is smaller than the sum of its proper divisors (23148164880).

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

7449876720 is a wasteful number, since it uses less digits than its factorization.

7449876720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7449876720 is about 86312.6683633405. The cubic root of 7449876720 is about 1953.0634923589.

The spelling of 7449876720 in words is "seven billion, four hundred forty-nine million, eight hundred seventy-six thousand, seven hundred twenty".