5662635400 has 96 divisors (see below), whose sum is σ = 14317152840. Its totient is φ = 2074152960.

The previous prime is 5662635373. The next prime is 5662635401. The reversal of 5662635400 is 45362665.

It can be written as a sum of positive squares in 12 ways, for example, as 549527364 + 5113108036 = 23442^2 + 71506^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 5662635400.

It is not an unprimeable number, because it can be changed into a prime (5662635401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103294 + ... + 148306.

Almost surely, 2^5662635400 is an apocalyptic number.

5662635400 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 5662635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158576420).

5662635400 is an abundant number, since it is smaller than the sum of its proper divisors (8654517440).

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

5662635400 is a wasteful number, since it uses less digits than its factorization.

5662635400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45083 (or 45074 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 5662635400 is about 75250.4843838231. The cubic root of 5662635400 is about 1782.4042123928.

The spelling of 5662635400 in words is "five billion, six hundred sixty-two million, six hundred thirty-five thousand, four hundred".