7438769520 has 480 divisors, whose sum is σ = 29371786752. Its totient is φ = 1515773952.

The previous prime is 7438769357. The next prime is 7438769531. The reversal of 7438769520 is 259678347.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83581636 + ... + 83581724.

Almost surely, 2^7438769520 is an apocalyptic number.

7438769520 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 7438769520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14685893376).

7438769520 is an abundant number, since it is smaller than the sum of its proper divisors (21933017232).

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

7438769520 is a wasteful number, since it uses less digits than its factorization.

7438769520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 7438769520 is about 86248.3015484943. The cubic root of 7438769520 is about 1952.0923865057.

The spelling of 7438769520 in words is "seven billion, four hundred thirty-eight million, seven hundred sixty-nine thousand, five hundred twenty".