1566383993640 has 384 divisors, whose sum is σ = 5592832596000. Its totient is φ = 378434617344.

The previous prime is 1566383993639. The next prime is 1566383993641. The reversal of 1566383993640 is 463993836651.

1566383993640 is a `hidden beast` number, since 1 + 56 + 63 + 83 + 99 + 364 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1566383993639) and next prime (1566383993641).

It can be written as a sum of positive squares in 16 ways, for example, as 409464331236 + 1156919662404 = 639894^2 + 1075602^2 .

It is not an unprimeable number, because it can be changed into a prime (1566383993641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59797666 + ... + 59823854.

Almost surely, 2^{1566383993640} is an apocalyptic number.

1566383993640 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 1566383993640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796416298000).

1566383993640 is an abundant number, since it is smaller than the sum of its proper divisors (4026448602360).

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

1566383993640 is a wasteful number, since it uses less digits than its factorization.

1566383993640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26589 (or 26582 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 1566383993640 in words is "one trillion, five hundred sixty-six billion, three hundred eighty-three million, nine hundred ninety-three thousand, six hundred forty".