48720672000 has 1728 divisors, whose sum is σ = 236775651840. Its totient is φ = 9345024000.

The previous prime is 48720671947. The next prime is 48720672023. The reversal of 48720672000 is 27602784.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3747743994 + ... + 3747744006.

Almost surely, 2^48720672000 is an apocalyptic number.

48720672000 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 48720672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118387825920).

48720672000 is an abundant number, since it is smaller than the sum of its proper divisors (188054979840).

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

48720672000 is a wasteful number, since it uses less digits than its factorization.

48720672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 48720672000 in words is "forty-eight billion, seven hundred twenty million, six hundred seventy-two thousand".