48379968000 has 1440 divisors, whose sum is σ = 218684074752. Its totient is φ = 10063872000.

The previous prime is 48379967971. The next prime is 48379968001. The reversal of 48379968000 is 86997384.

48379968000 is a `hidden beast` number, since 483 + 79 + 96 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (48379968001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 681407965 + ... + 681408035.

Almost surely, 2^48379968000 is an apocalyptic number.

48379968000 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 48379968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109342037376).

48379968000 is an abundant number, since it is smaller than the sum of its proper divisors (170304106752).

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

48379968000 is a wasteful number, since it uses less digits than its factorization.

48379968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 48379968000 in words is "forty-eight billion, three hundred seventy-nine million, nine hundred sixty-eight thousand".