47994897600 has 840 divisors, whose sum is σ = 193515770448. Its totient is φ = 11595571200.

The previous prime is 47994897557. The next prime is 47994897631. The reversal of 47994897600 is 679849974.

47994897600 is a `hidden beast` number, since 4 + 7 + 99 + 489 + 7 + 60 + 0 = 666.

It is a super-3 number, since 3×47994897600³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102772567 + ... + 102773033.

Almost surely, 2^47994897600 is an apocalyptic number.

47994897600 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 47994897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96757885224).

47994897600 is an abundant number, since it is smaller than the sum of its proper divisors (145520872848).

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

47994897600 is a wasteful number, since it uses less digits than its factorization.

47994897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 47994897600 in words is "forty-seven billion, nine hundred ninety-four million, eight hundred ninety-seven thousand, six hundred".