48768796440 has 1536 divisors, whose sum is σ = 221356800000. Its totient is φ = 9510359040.

The previous prime is 48768796369. The next prime is 48768796493. The reversal of 48768796440 is 4469786784.

48768796440 is a `hidden beast` number, since 48 + 7 + 68 + 7 + 96 + 440 = 666.

48768796440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1189482820 + ... + 1189482860.

It is an arithmetic number, because the mean of its divisors is an integer number (144112500).

Almost surely, 2^48768796440 is an apocalyptic number.

48768796440 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 48768796440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400000).

48768796440 is an abundant number, since it is smaller than the sum of its proper divisors (172588003560).

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

48768796440 is a wasteful number, since it uses less digits than its factorization.

48768796440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 48768796440 in words is "forty-eight billion, seven hundred sixty-eight million, seven hundred ninety-six thousand, four hundred forty".