48432660480 has 420 divisors, whose sum is σ = 174487420632. Its totient is φ = 12899450880.

The previous prime is 48432660473. The next prime is 48432660487. The reversal of 48432660480 is 8406623484.

48432660480 is a `hidden beast` number, since 4 + 8 + 4 + 32 + 6 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48432660473) and next prime (48432660487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48432660487) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719275 + ... + 59720085.

Almost surely, 2^48432660480 is an apocalyptic number.

48432660480 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 48432660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87243710316).

48432660480 is an abundant number, since it is smaller than the sum of its proper divisors (126054760152).

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

48432660480 is an frugal number, since it uses more digits than its factorization.

48432660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 48432660480 in words is "forty-eight billion, four hundred thirty-two million, six hundred sixty thousand, four hundred eighty".