4475087864640 has 336 divisors, whose sum is σ = 15667367639040. Its totient is φ = 1172228198400.

The previous prime is 4475087864573. The next prime is 4475087864657. The reversal of 4475087864640 is 464687805744.

4475087864640 is a `hidden beast` number, since 4 + 4 + 7 + 508 + 7 + 8 + 64 + 64 + 0 = 666.

It is a super-2 number, since 2×4475087864640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36881191 + ... + 37002329.

Almost surely, 2^{4475087864640} is an apocalyptic number.

4475087864640 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 4475087864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833683819520).

4475087864640 is an abundant number, since it is smaller than the sum of its proper divisors (11192279774400).

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

4475087864640 is a wasteful number, since it uses less digits than its factorization.

4475087864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121390 (or 121377 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 4475087864640 in words is "four trillion, four hundred seventy-five billion, eighty-seven million, eight hundred sixty-four thousand, six hundred forty".