48427632000 has 1280 divisors, whose sum is σ = 203317171200. Its totient is φ = 11321856000.

The previous prime is 48427631983. The next prime is 48427632013. The reversal of 48427632000 is 23672484.

It is a super-2 number, since 2×48427632000² (a number of 22 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 613007961 + ... + 613008039.

It is an arithmetic number, because the mean of its divisors is an integer number (158841540).

Almost surely, 2^48427632000 is an apocalyptic number.

48427632000 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 48427632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101658585600).

48427632000 is an abundant number, since it is smaller than the sum of its proper divisors (154889539200).

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

48427632000 is a wasteful number, since it uses less digits than its factorization.

48427632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 48427632000 in words is "forty-eight billion, four hundred twenty-seven million, six hundred thirty-two thousand".