3663914411520 has 640 divisors, whose sum is σ = 14216762926080. Its totient is φ = 887027466240.

The previous prime is 3663914411489. The next prime is 3663914411527. The reversal of 3663914411520 is 251144193663.

3663914411520 is a `hidden beast` number, since 3 + 6 + 639 + 1 + 4 + 4 + 1 + 1 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663914411527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651591429 + ... + 651597051.

It is an arithmetic number, because the mean of its divisors is an integer number (22213692072).

Almost surely, 2^{3663914411520} is an apocalyptic number.

3663914411520 is a gapful number since it is divisible by the number (30) 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 3663914411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108381463040).

3663914411520 is an abundant number, since it is smaller than the sum of its proper divisors (10552848514560).

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

3663914411520 is a wasteful number, since it uses less digits than its factorization.

3663914411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3663914411520 in words is "three trillion, six hundred sixty-three billion, nine hundred fourteen million, four hundred eleven thousand, five hundred twenty".