997653646080 has 2016 divisors, whose sum is σ = 4563981864960. Its totient is φ = 203166351360.

The previous prime is 997653646061. The next prime is 997653646091. The reversal of 997653646080 is 80646356799.

997653646080 is a `hidden beast` number, since 9 + 9 + 7 + 65 + 36 + 460 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 997653645999 and 997653646017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2632331331 + ... + 2632331709.

Almost surely, 2^997653646080 is an apocalyptic number.

997653646080 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 997653646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281990932480).

997653646080 is an abundant number, since it is smaller than the sum of its proper divisors (3566328218880).

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

997653646080 is a wasteful number, since it uses less digits than its factorization.

997653646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 997653646080 in words is "nine hundred ninety-seven billion, six hundred fifty-three million, six hundred forty-six thousand, eighty".