6557148400 has 120 divisors (see below), whose sum is σ = 17222719104. Its totient is φ = 2379283200.

The previous prime is 6557148397. The next prime is 6557148439. The reversal of 6557148400 is 48417556.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2475877 + ... + 2478523.

Almost surely, 2^6557148400 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 6557148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611359552).

6557148400 is an abundant number, since it is smaller than the sum of its proper divisors (10665570704).

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

6557148400 is a wasteful number, since it uses less digits than its factorization.

6557148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 6557148400 is about 80976.2212010415. The cubic root of 6557148400 is about 1871.7090384103.

The spelling of 6557148400 in words is "six billion, five hundred fifty-seven million, one hundred forty-eight thousand, four hundred".