4477648139328 has 672 divisors, whose sum is σ = 15043424043648. Its totient is φ = 1164931891200.

The previous prime is 4477648139303. The next prime is 4477648139369. The reversal of 4477648139328 is 8239318467744.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6774051318 + ... + 6774051978.

It is an arithmetic number, because the mean of its divisors is an integer number (22386047684).

Almost surely, 2^{4477648139328} is an apocalyptic number.

4477648139328 is a gapful number since it is divisible by the number (48) 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 4477648139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521712021824).

4477648139328 is an abundant number, since it is smaller than the sum of its proper divisors (10565775904320).

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

4477648139328 is a wasteful number, since it uses less digits than its factorization.

4477648139328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1354 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

The spelling of 4477648139328 in words is "four trillion, four hundred seventy-seven billion, six hundred forty-eight million, one hundred thirty-nine thousand, three hundred twenty-eight".