48072679200 has 1152 divisors, whose sum is σ = 220100912640. Its totient is φ = 9853747200.

The previous prime is 48072679189. The next prime is 48072679231. The reversal of 48072679200 is 297627084.

48072679200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48072679200³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72726870 + ... + 72727530.

It is an arithmetic number, because the mean of its divisors is an integer number (191059820).

Almost surely, 2^48072679200 is an apocalyptic number.

48072679200 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 48072679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110050456320).

48072679200 is an abundant number, since it is smaller than the sum of its proper divisors (172028233440).

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

48072679200 is a wasteful number, since it uses less digits than its factorization.

48072679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 48072679200 in words is "forty-eight billion, seventy-two million, six hundred seventy-nine thousand, two hundred".