4663739661504 has 224 divisors, whose sum is σ = 15461601792000. Its totient is φ = 1205272949760.

The previous prime is 4663739661479. The next prime is 4663739661521. The reversal of 4663739661504 is 4051669373664.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2149407 + ... + 3734625.

It is an arithmetic number, because the mean of its divisors is an integer number (69025008000).

Almost surely, 2^{4663739661504} is an apocalyptic number.

4663739661504 is a gapful number since it is divisible by the number (44) 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 4663739661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730800896000).

4663739661504 is an abundant number, since it is smaller than the sum of its proper divisors (10797862130496).

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

4663739661504 is a wasteful number, since it uses less digits than its factorization.

4663739661504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585451 (or 1585441 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 60.

The spelling of 4663739661504 in words is "four trillion, six hundred sixty-three billion, seven hundred thirty-nine million, six hundred sixty-one thousand, five hundred four".