5649464620800 has 5184 divisors, whose sum is σ = 29758735319040. Its totient is φ = 1021206528000.

The previous prime is 5649464620799. The next prime is 5649464620801. The reversal of 5649464620800 is 80264649465.

5649464620800 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 4 + 6 + 4 + 620 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5649464620799) and next prime (5649464620801).

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5649464620801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29578348705 + ... + 29578348895.

Almost surely, 2^{5649464620800} is an apocalyptic number.

5649464620800 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 5649464620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879367659520).

5649464620800 is an abundant number, since it is smaller than the sum of its proper divisors (24109270698240).

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

5649464620800 is a wasteful number, since it uses less digits than its factorization.

5649464620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5649464620800 in words is "five trillion, six hundred forty-nine billion, four hundred sixty-four million, six hundred twenty thousand, eight hundred".