5645462400 has 576 divisors, whose sum is σ = 21925940400. Its totient is φ = 1418342400.

The previous prime is 5645462369. The next prime is 5645462429. The reversal of 5645462400 is 42645465.

5645462400 is a `hidden beast` number, since 5 + 645 + 4 + 6 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31190310 + ... + 31190490.

Almost surely, 2^5645462400 is an apocalyptic number.

5645462400 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 5645462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10962970200).

5645462400 is an abundant number, since it is smaller than the sum of its proper divisors (16280478000).

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

5645462400 is a wasteful number, since it uses less digits than its factorization.

5645462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5645462400 is about 75136.2921629754. The cubic root of 5645462400 is about 1780.6005632467.

The spelling of 5645462400 in words is "five billion, six hundred forty-five million, four hundred sixty-two thousand, four hundred".