48090779632 has 160 divisors (see below), whose sum is σ = 113128632320. Its totient is φ = 19369082880.

The previous prime is 48090779609. The next prime is 48090779651. The reversal of 48090779632 is 23697709084.

It is a super-3 number, since 3×48090779632³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28813294 + ... + 28814962.

It is an arithmetic number, because the mean of its divisors is an integer number (707053952).

Almost surely, 2^48090779632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48090779632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56564316160).

48090779632 is an abundant number, since it is smaller than the sum of its proper divisors (65037852688).

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

48090779632 is a wasteful number, since it uses less digits than its factorization.

48090779632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 48090779632 in words is "forty-eight billion, ninety million, seven hundred seventy-nine thousand, six hundred thirty-two".