48679038720 has 576 divisors, whose sum is σ = 188117005440. Its totient is φ = 11848384512.

The previous prime is 48679038703. The next prime is 48679038721. The reversal of 48679038720 is 2783097684.

48679038720 is a `hidden beast` number, since 486 + 7 + 90 + 3 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48679038721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 43579602 + ... + 43580718.

Almost surely, 2^48679038720 is an apocalyptic number.

48679038720 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 48679038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058502720).

48679038720 is an abundant number, since it is smaller than the sum of its proper divisors (139437966720).

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

48679038720 is a wasteful number, since it uses less digits than its factorization.

48679038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 48679038720 in words is "forty-eight billion, six hundred seventy-nine million, thirty-eight thousand, seven hundred twenty".