7424766720 has 576 divisors, whose sum is σ = 30799319040. Its totient is φ = 1658437632.

The previous prime is 7424766719. The next prime is 7424766749. The reversal of 7424766720 is 276674247.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11369914 + ... + 11370566.

It is an arithmetic number, because the mean of its divisors is an integer number (53471040).

Almost surely, 2^7424766720 is an apocalyptic number.

7424766720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7424766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399659520).

7424766720 is an abundant number, since it is smaller than the sum of its proper divisors (23374552320).

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

7424766720 is a wasteful number, since it uses less digits than its factorization.

7424766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 7424766720 is about 86167.0860595854. The cubic root of 7424766720 is about 1950.8667389538.

The spelling of 7424766720 in words is "seven billion, four hundred twenty-four million, seven hundred sixty-six thousand, seven hundred twenty".