5654246400 has 792 divisors, whose sum is σ = 23283134784. Its totient is φ = 1297612800.

The previous prime is 5654246399. The next prime is 5654246431. The reversal of 5654246400 is 46424565.

5654246400 is a `hidden beast` number, since 5 + 6 + 5 + 4 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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, 58291152 + ... + 58291248.

Almost surely, 2^5654246400 is an apocalyptic number.

5654246400 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 5654246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11641567392).

5654246400 is an abundant number, since it is smaller than the sum of its proper divisors (17628888384).

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

5654246400 is a wasteful number, since it uses less digits than its factorization.

5654246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

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

The square root of 5654246400 is about 75194.7232191196. The cubic root of 5654246400 is about 1781.5235871550.

The spelling of 5654246400 in words is "five billion, six hundred fifty-four million, two hundred forty-six thousand, four hundred".