997748409600 has 270 divisors, whose sum is σ = 3689132393870. Its totient is φ = 266066104320.

The previous prime is 997748409551. The next prime is 997748409601. The reversal of 997748409600 is 6904847799.

997748409600 is a `hidden beast` number, since 9 + 97 + 7 + 484 + 0 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 338612265216 + 659136144384 = 581904^2 + 811872^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997748409601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 443935 + ... + 1480734.

Almost surely, 2^997748409600 is an apocalyptic number.

997748409600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

997748409600 is an abundant number, since it is smaller than the sum of its proper divisors (2691383984270).

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

997748409600 is a wasteful number, since it uses less digits than its factorization.

997748409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924707 (or 1924679 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 997748409600 in words is "nine hundred ninety-seven billion, seven hundred forty-eight million, four hundred nine thousand, six hundred".