1663331340 has 144 divisors (see below), whose sum is σ = 5420743776. Its totient is φ = 379484160.

The previous prime is 1663331309. The next prime is 1663331401. The reversal of 1663331340 is 431333661.

It is a super-2 number, since 2×1663331340² = 5533342293252391200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1663331298 and 1663331307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116682 + ... + 130158.

It is an arithmetic number, because the mean of its divisors is an integer number (37644054).

Almost surely, 2^1663331340 is an apocalyptic number.

1663331340 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 1663331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710371888).

1663331340 is an abundant number, since it is smaller than the sum of its proper divisors (3757412436).

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

1663331340 is a wasteful number, since it uses less digits than its factorization.

1663331340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13528 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 1663331340 is about 40783.9593467824. The cubic root of 1663331340 is about 1184.8396799259.

The spelling of 1663331340 in words is "one billion, six hundred sixty-three million, three hundred thirty-one thousand, three hundred forty".