1664745615000 has 480 divisors, whose sum is σ = 6292222656720. Its totient is φ = 409779648000.

The previous prime is 1664745614989. The next prime is 1664745615011. The reversal of 1664745615000 is 5165474661.

1664745615000 is a `hidden beast` number, since 1 + 6 + 6 + 47 + 45 + 61 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1664745614989) and next prime (1664745615011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15742302 + ... + 15847698.

Almost surely, 2^{1664745615000} is an apocalyptic number.

1664745615000 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 1664745615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146111328360).

1664745615000 is an abundant number, since it is smaller than the sum of its proper divisors (4627477041720).

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

1664745615000 is a wasteful number, since it uses less digits than its factorization.

1664745615000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105451 (or 105420 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1664745615000 in words is "one trillion, six hundred sixty-four billion, seven hundred forty-five million, six hundred fifteen thousand".