47918476800 has 480 divisors, whose sum is σ = 178846097760. Its totient is φ = 12563251200.

The previous prime is 47918476789. The next prime is 47918476811. The reversal of 47918476800 is 867481974.

It is a happy number.

47918476800 is a `hidden beast` number, since 4 + 7 + 91 + 8 + 476 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47918476789) and next prime (47918476811).

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 21080464 + ... + 21082736.

It is an arithmetic number, because the mean of its divisors is an integer number (372596037).

Almost surely, 2^47918476800 is an apocalyptic number.

47918476800 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 47918476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89423048880).

47918476800 is an abundant number, since it is smaller than the sum of its proper divisors (130927620960).

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

47918476800 is a wasteful number, since it uses less digits than its factorization.

47918476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 47918476800 in words is "forty-seven billion, nine hundred eighteen million, four hundred seventy-six thousand, eight hundred".