48780673760 has 144 divisors (see below), whose sum is σ = 142619079456. Its totient is φ = 15438219264.

The previous prime is 48780673741. The next prime is 48780673807. The reversal of 48780673760 is 6737608784.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 48780673696 and 48780673705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60422 + ... + 318138.

It is an arithmetic number, because the mean of its divisors is an integer number (990410274).

Almost surely, 2^48780673760 is an apocalyptic number.

48780673760 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 48780673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71309539728).

48780673760 is an abundant number, since it is smaller than the sum of its proper divisors (93838405696).

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

48780673760 is a wasteful number, since it uses less digits than its factorization.

48780673760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257765 (or 257744 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 56.

The spelling of 48780673760 in words is "forty-eight billion, seven hundred eighty million, six hundred seventy-three thousand, seven hundred sixty".