47363904000 has 960 divisors, whose sum is σ = 206734125312. Its totient is φ = 10174464000.

The previous prime is 47363903957. The next prime is 47363904013. The reversal of 47363904000 is 40936374.

47363904000 is a `hidden beast` number, since 473 + 63 + 90 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 68543655 + ... + 68544345.

Almost surely, 2^47363904000 is an apocalyptic number.

47363904000 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 47363904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103367062656).

47363904000 is an abundant number, since it is smaller than the sum of its proper divisors (159370221312).

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

47363904000 is a wasteful number, since it uses less digits than its factorization.

47363904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 47363904000 in words is "forty-seven billion, three hundred sixty-three million, nine hundred four thousand".