5357847600 has 480 divisors, whose sum is σ = 22001210880. Its totient is φ = 1213056000.

The previous prime is 5357847577. The next prime is 5357847613. The reversal of 5357847600 is 67487535.

5357847600 is a `hidden beast` number, since 5 + 3 + 578 + 4 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9903330 + ... + 9903870.

It is an arithmetic number, because the mean of its divisors is an integer number (45835856).

Almost surely, 2^5357847600 is an apocalyptic number.

5357847600 is a gapful number since it is divisible by the number (50) 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 5357847600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11000605440).

5357847600 is an abundant number, since it is smaller than the sum of its proper divisors (16643363280).

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

5357847600 is a wasteful number, since it uses less digits than its factorization.

5357847600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5357847600 is about 73197.3196230572. The cubic root of 5357847600 is about 1749.8337365852.

The spelling of 5357847600 in words is "five billion, three hundred fifty-seven million, eight hundred forty-seven thousand, six hundred".