47433764400 has 480 divisors, whose sum is σ = 170886895872. Its totient is φ = 11147673600.

The previous prime is 47433764393. The next prime is 47433764437. The reversal of 47433764400 is 446733474.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109546584 + ... + 109547016.

Almost surely, 2^47433764400 is an apocalyptic number.

47433764400 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 47433764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85443447936).

47433764400 is an abundant number, since it is smaller than the sum of its proper divisors (123453131472).

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

47433764400 is a wasteful number, since it uses less digits than its factorization.

47433764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 47433764400 in words is "forty-seven billion, four hundred thirty-three million, seven hundred sixty-four thousand, four hundred".