7374481920 has 640 divisors, whose sum is σ = 29285625600. Its totient is φ = 1746468864.

The previous prime is 7374481889. The next prime is 7374481931. The reversal of 7374481920 is 291844737.

It is a tau number, because it is divible by the number of its divisors (640).

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, 26058099 + ... + 26058381.

It is an arithmetic number, because the mean of its divisors is an integer number (45758790).

Almost surely, 2^7374481920 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 7374481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642812800).

7374481920 is an abundant number, since it is smaller than the sum of its proper divisors (21911143680).

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

7374481920 is a wasteful number, since it uses less digits than its factorization.

7374481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7374481920 is about 85874.8037552343. The cubic root of 7374481920 is about 1946.4526275793.

The spelling of 7374481920 in words is "seven billion, three hundred seventy-four million, four hundred eighty-one thousand, nine hundred twenty".