7478077920 has 192 divisors, whose sum is σ = 24409921536. Its totient is φ = 1922365440.

The previous prime is 7478077907. The next prime is 7478077921. The reversal of 7478077920 is 297708747.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7478077921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4567342 + ... + 4568978.

It is an arithmetic number, because the mean of its divisors is an integer number (127135008).

Almost surely, 2^7478077920 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 7478077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204960768).

7478077920 is an abundant number, since it is smaller than the sum of its proper divisors (16931843616).

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

7478077920 is a wasteful number, since it uses less digits than its factorization.

7478077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 51.

The square root of 7478077920 is about 86475.8805679364. The cubic root of 7478077920 is about 1955.5248029102.

The spelling of 7478077920 in words is "seven billion, four hundred seventy-eight million, seventy-seven thousand, nine hundred twenty".