997692616800 has 1440 divisors, whose sum is σ = 4137209201664. Its totient is φ = 231787008000.

The previous prime is 997692616799. The next prime is 997692616801. The reversal of 997692616800 is 8616296799.

It is a happy number.

997692616800 is a `hidden beast` number, since 9 + 9 + 7 + 6 + 9 + 2 + 616 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (997692616799) and next prime (997692616801).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997692616801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3601778262 + ... + 3601778538.

Almost surely, 2^997692616800 is an apocalyptic number.

997692616800 is a gapful number since it is divisible by the number (90) 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 997692616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068604600832).

997692616800 is an abundant number, since it is smaller than the sum of its proper divisors (3139516584864).

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

997692616800 is a wasteful number, since it uses less digits than its factorization.

997692616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 997692616800 in words is "nine hundred ninety-seven billion, six hundred ninety-two million, six hundred sixteen thousand, eight hundred".