13663666764000 has 3840 divisors, whose sum is σ = 62250281533440. Its totient is φ = 2894538240000.

The previous prime is 13663666763933. The next prime is 13663666764017. The reversal of 13663666764000 is 46766636631.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 48281507859 + ... + 48281508141.

It is an arithmetic number, because the mean of its divisors is an integer number (16211010816).

Almost surely, 2^{13663666764000} is an apocalyptic number.

13663666764000 is a gapful number since it is divisible by the number (10) 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 13663666764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31125140766720).

13663666764000 is an abundant number, since it is smaller than the sum of its proper divisors (48586614769440).

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

13663666764000 is a wasteful number, since it uses less digits than its factorization.

13663666764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 13663666764000 in words is "thirteen trillion, six hundred sixty-three billion, six hundred sixty-six million, seven hundred sixty-four thousand".