7447681920 has 256 divisors, whose sum is σ = 27506119680. Its totient is φ = 1678786560.

The previous prime is 7447681919. The next prime is 7447681949. The reversal of 7447681920 is 291867447.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7447681920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977325 + ... + 984915.

It is an arithmetic number, because the mean of its divisors is an integer number (107445780).

Almost surely, 2^7447681920 is an apocalyptic number.

7447681920 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 7447681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753059840).

7447681920 is an abundant number, since it is smaller than the sum of its proper divisors (20058437760).

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

7447681920 is a wasteful number, since it uses less digits than its factorization.

7447681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 7447681920 is about 86299.9531865458. The cubic root of 7447681920 is about 1952.8716768905.

The spelling of 7447681920 in words is "seven billion, four hundred forty-seven million, six hundred eighty-one thousand, nine hundred twenty".