48672169920 has 448 divisors, whose sum is σ = 189978670080. Its totient is φ = 11631513600.

The previous prime is 48672169891. The next prime is 48672169933. The reversal of 48672169920 is 2996127684.

48672169920 is a `hidden beast` number, since 486 + 72 + 1 + 6 + 9 + 92 + 0 = 666.

48672169920 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6744234 + ... + 6751446.

Almost surely, 2^48672169920 is an apocalyptic number.

48672169920 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 48672169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94989335040).

48672169920 is an abundant number, since it is smaller than the sum of its proper divisors (141306500160).

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

48672169920 is a wasteful number, since it uses less digits than its factorization.

48672169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321 (or 7305 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 48672169920 in words is "forty-eight billion, six hundred seventy-two million, one hundred sixty-nine thousand, nine hundred twenty".