996640356101700 has 432 divisors, whose sum is σ = 3230429732639424. Its totient is φ = 236380944384000.

The previous prime is 996640356101693. The next prime is 996640356101707. The reversal of 996640356101700 is 7101653046699.

It is an interprime number because it is at equal distance from previous prime (996640356101693) and next prime (996640356101707).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (996640356101707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 737606127 + ... + 738956073.

It is an arithmetic number, because the mean of its divisors is an integer number (7477846603332).

Almost surely, 2^{996640356101700} 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 996640356101700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615214866319712).

996640356101700 is an abundant number, since it is smaller than the sum of its proper divisors (2233789376537724).

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

996640356101700 is a wasteful number, since it uses less digits than its factorization.

996640356101700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350420 (or 1350394 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 996640356101700 in words is "nine hundred ninety-six trillion, six hundred forty billion, three hundred fifty-six million, one hundred one thousand, seven hundred".