48007641600 has 480 divisors, whose sum is σ = 181936212480. Its totient is φ = 12386304000.

The previous prime is 48007641587. The next prime is 48007641629. The reversal of 48007641600 is 614670084.

48007641600 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 7 + 6 + 41 + 600 = 666.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10711360 + ... + 10715840.

It is an arithmetic number, because the mean of its divisors is an integer number (379033776).

Almost surely, 2^48007641600 is an apocalyptic number.

48007641600 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 48007641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90968106240).

48007641600 is an abundant number, since it is smaller than the sum of its proper divisors (133928570880).

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

48007641600 is a wasteful number, since it uses less digits than its factorization.

48007641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 48007641600 in words is "forty-eight billion, seven million, six hundred forty-one thousand, six hundred".