35664305402220 has 384 divisors, whose sum is σ = 117207859507200. Its totient is φ = 8011111449600.

The previous prime is 35664305402183. The next prime is 35664305402227. The reversal of 35664305402220 is 2220450346653.

It is not an unprimeable number, because it can be changed into a prime (35664305402227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145630075 + ... + 145874765.

It is an arithmetic number, because the mean of its divisors is an integer number (305228800800).

Almost surely, 2^{35664305402220} is an apocalyptic number.

35664305402220 is a gapful number since it is divisible by the number (30) 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 35664305402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58603929753600).

35664305402220 is an abundant number, since it is smaller than the sum of its proper divisors (81543554104980).

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

35664305402220 is a wasteful number, since it uses less digits than its factorization.

35664305402220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244989 (or 244987 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 35664305402220 its reverse (2220450346653), we get a palindrome (37884755748873).

The spelling of 35664305402220 in words is "thirty-five trillion, six hundred sixty-four billion, three hundred five million, four hundred two thousand, two hundred twenty".