48567677760 has 280 divisors, whose sum is σ = 197445050880. Its totient is φ = 11101142016.

The previous prime is 48567677747. The next prime is 48567677801. The reversal of 48567677760 is 6777676584.

It is a happy number.

48567677760 is a `hidden beast` number, since 4 + 8 + 567 + 6 + 7 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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 39 ways as a sum of consecutive naturals, for example, 47601 + ... + 315279.

It is an arithmetic number, because the mean of its divisors is an integer number (705160896).

Almost surely, 2^48567677760 is an apocalyptic number.

48567677760 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 48567677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98722525440).

48567677760 is an abundant number, since it is smaller than the sum of its proper divisors (148877373120).

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

48567677760 is a wasteful number, since it uses less digits than its factorization.

48567677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267715 (or 267696 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 48567677760 in words is "forty-eight billion, five hundred sixty-seven million, six hundred seventy-seven thousand, seven hundred sixty".