3669701563008 has 960 divisors, whose sum is σ = 12592746243000. Its totient is φ = 1056672055296.

The previous prime is 3669701563007. The next prime is 3669701563009. The reversal of 3669701563008 is 8003651079663.

3669701563008 is a `hidden beast` number, since 3 + 6 + 6 + 9 + 70 + 1 + 563 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3669701563007) and next prime (3669701563009).

It can be written as a sum of positive squares in 12 ways, for example, as 181741921344 + 3487959641664 = 426312^2 + 1867608^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669701563007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10395754960 + ... + 10395755312.

Almost surely, 2^{3669701563008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3669701563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296373121500).

3669701563008 is an abundant number, since it is smaller than the sum of its proper divisors (8923044679992).

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

3669701563008 is a wasteful number, since it uses less digits than its factorization.

3669701563008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3669701563008 in words is "three trillion, six hundred sixty-nine billion, seven hundred one million, five hundred sixty-three thousand, eight".