7388129280 has 768 divisors, whose sum is σ = 29889699840. Its totient is φ = 1519386624.

The previous prime is 7388129279. The next prime is 7388129317. The reversal of 7388129280 is 829218837.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 157194217 + ... + 157194263.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 2^7388129280 is an apocalyptic number.

7388129280 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 7388129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944849920).

7388129280 is an abundant number, since it is smaller than the sum of its proper divisors (22501570560).

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

7388129280 is a wasteful number, since it uses less digits than its factorization.

7388129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 7388129280 is about 85954.2278192295. The cubic root of 7388129280 is about 1947.6526020437.

The spelling of 7388129280 in words is "seven billion, three hundred eighty-eight million, one hundred twenty-nine thousand, two hundred eighty".