48069672640 has 224 divisors, whose sum is σ = 128523967488. Its totient is φ = 16972800000.

The previous prime is 48069672589. The next prime is 48069672661. The reversal of 48069672640 is 4627696084.

It is a happy number.

48069672640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48069672640³ (a number of 33 digits) contains 333 as substring.

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, 36223657 + ... + 36224983.

It is an arithmetic number, because the mean of its divisors is an integer number (573767712).

Almost surely, 2^48069672640 is an apocalyptic number.

48069672640 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 48069672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64261983744).

48069672640 is an abundant number, since it is smaller than the sum of its proper divisors (80454294848).

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

48069672640 is a wasteful number, since it uses less digits than its factorization.

48069672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 48069672640 in words is "forty-eight billion, sixty-nine million, six hundred seventy-two thousand, six hundred forty".