647849972448 has 240 divisors, whose sum is σ = 2247739490304. Its totient is φ = 179128869120.

The previous prime is 647849972401. The next prime is 647849972459. The reversal of 647849972448 is 844279948746.

647849972448 is a `hidden beast` number, since 6 + 4 + 78 + 49 + 9 + 72 + 448 = 666.

647849972448 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-2 number, since 2×647849972448² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13440 + ... + 1138367.

Almost surely, 2^647849972448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647849972448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123869745152).

647849972448 is an abundant number, since it is smaller than the sum of its proper divisors (1599889517856).

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

647849972448 is a wasteful number, since it uses less digits than its factorization.

647849972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151867 (or 1151850 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 647849972448 in words is "six hundred forty-seven billion, eight hundred forty-nine million, nine hundred seventy-two thousand, four hundred forty-eight".