4639747198464 has 1440 divisors, whose sum is σ = 17194010628960. Its totient is φ = 1231396798464.

The previous prime is 4639747198441. The next prime is 4639747198483. The reversal of 4639747198464 is 4648917479364.

4639747198464 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 7 + 4 + 71 + 98 + 464 = 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 junction number, because it is equal to n+sod(n) for n = 4639747198392 and 4639747198401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26819347882 + ... + 26819348054.

It is an arithmetic number, because the mean of its divisors is an integer number (11940285159).

Almost surely, 2^{4639747198464} 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 4639747198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597005314480).

4639747198464 is an abundant number, since it is smaller than the sum of its proper divisors (12554263430496).

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

4639747198464 is a wasteful number, since it uses less digits than its factorization.

4639747198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 339 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 4639747198464 in words is "four trillion, six hundred thirty-nine billion, seven hundred forty-seven million, one hundred ninety-eight thousand, four hundred sixty-four".