48064720704000 has 5120 divisors, whose sum is σ = 232757070594048. Its totient is φ = 8465154048000.

The previous prime is 48064720703999. The next prime is 48064720704019. The reversal of 48064720704000 is 40702746084.

It is a super-3 number, since 3×48064720704000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 153561407844 + ... + 153561408156.

Almost surely, 2^{48064720704000} is an apocalyptic number.

48064720704000 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 48064720704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116378535297024).

48064720704000 is an abundant number, since it is smaller than the sum of its proper divisors (184692349890048).

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

48064720704000 is a wasteful number, since it uses less digits than its factorization.

48064720704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 48064720704000 in words is "forty-eight trillion, sixty-four billion, seven hundred twenty million, seven hundred four thousand".