359897102964 has 288 divisors, whose sum is σ = 1099222911360. Its totient is φ = 101523953664.

The previous prime is 359897102963. The next prime is 359897103023. The reversal of 359897102964 is 469201798953.

359897102964 is a `hidden beast` number, since 3 + 598 + 9 + 7 + 10 + 29 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359897102963) 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, 396798999 + ... + 396799905.

It is an arithmetic number, because the mean of its divisors is an integer number (3816746220).

It is a 1-persistent number, because it is pandigital, but 2⋅359897102964 = 719794205928 is not.

Almost surely, 2^359897102964 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 359897102964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549611455680).

359897102964 is an abundant number, since it is smaller than the sum of its proper divisors (739325808396).

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

359897102964 is a wasteful number, since it uses less digits than its factorization.

359897102964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 359897102964 in words is "three hundred fifty-nine billion, eight hundred ninety-seven million, one hundred two thousand, nine hundred sixty-four".