46983484800 has 576 divisors, whose sum is σ = 202882773600. Its totient is φ = 10106634240.

The previous prime is 46983484799. The next prime is 46983484819. The reversal of 46983484800 is 848438964.

46983484800 is a `hidden beast` number, since 4 + 6 + 9 + 83 + 484 + 80 + 0 = 666.

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

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, 3420346 + ... + 3434054.

Almost surely, 2^46983484800 is an apocalyptic number.

46983484800 is a gapful number since it is divisible by the number (40) 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 46983484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101441386800).

46983484800 is an abundant number, since it is smaller than the sum of its proper divisors (155899288800).

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

46983484800 is a wasteful number, since it uses less digits than its factorization.

46983484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13763 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 46983484800 in words is "forty-six billion, nine hundred eighty-three million, four hundred eighty-four thousand, eight hundred".