5461996800 has 432 divisors, whose sum is σ = 19729015040. Its totient is φ = 1322680320.

The previous prime is 5461996751. The next prime is 5461996811. The reversal of 5461996800 is 86991645.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5461996800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19718262 + ... + 19718538.

Almost surely, 2^5461996800 is an apocalyptic number.

5461996800 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 5461996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864507520).

5461996800 is an abundant number, since it is smaller than the sum of its proper divisors (14267018240).

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

5461996800 is a wasteful number, since it uses less digits than its factorization.

5461996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 5461996800 is about 73905.3232182906. The cubic root of 5461996800 is about 1761.0991756461.

The spelling of 5461996800 in words is "five billion, four hundred sixty-one million, nine hundred ninety-six thousand, eight hundred".