7148008400 has 60 divisors (see below), whose sum is σ = 18494110572. Its totient is φ = 2639262720.

The previous prime is 7148008397. The next prime is 7148008403. The reversal of 7148008400 is 48008417.

It is an interprime number because it is at equal distance from previous prime (7148008397) and next prime (7148008403).

It can be written as a sum of positive squares in 6 ways, for example, as 1370184256 + 5777824144 = 37016^2 + 76012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7148008403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682109 + ... + 692508.

Almost surely, 2^7148008400 is an apocalyptic number.

It is an amenable number.

7148008400 is an abundant number, since it is smaller than the sum of its proper divisors (11346102172).

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

7148008400 is a wasteful number, since it uses less digits than its factorization.

7148008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374648 (or 1374637 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 7148008400 is about 84545.8952285680. The cubic root of 7148008400 is about 1926.3196348711.

The spelling of 7148008400 in words is "seven billion, one hundred forty-eight million, eight thousand, four hundred".