4477997238624 has 576 divisors, whose sum is σ = 16948093833216. Its totient is φ = 1087884214272.

The previous prime is 4477997238613. The next prime is 4477997238683. The reversal of 4477997238624 is 4268327997744.

4477997238624 is a `hidden beast` number, since 4 + 4 + 77 + 99 + 72 + 386 + 24 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20833269 + ... + 21047115.

It is an arithmetic number, because the mean of its divisors is an integer number (29423774016).

Almost surely, 2^{4477997238624} 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 4477997238624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474046916608).

4477997238624 is an abundant number, since it is smaller than the sum of its proper divisors (12470096594592).

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

4477997238624 is a wasteful number, since it uses less digits than its factorization.

4477997238624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213947 (or 213936 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 72.

The spelling of 4477997238624 in words is "four trillion, four hundred seventy-seven billion, nine hundred ninety-seven million, two hundred thirty-eight thousand, six hundred twenty-four".