997765394250240 has 1600 divisors, whose sum is σ = 4717586989893888. Its totient is φ = 195132063744000.

The previous prime is 997765394250199. The next prime is 997765394250299. The reversal of 997765394250240 is 42052493567799.

997765394250240 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 6 + 5 + 39 + 42 + 502 + 40 = 666.

997765394250240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 269596290 + ... + 273272190.

Almost surely, 2^{997765394250240} is an apocalyptic number.

997765394250240 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 997765394250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358793494946944).

997765394250240 is an abundant number, since it is smaller than the sum of its proper divisors (3719821595643648).

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

997765394250240 is a wasteful number, since it uses less digits than its factorization.

997765394250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675971 (or 3675946 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 997765394250240 in words is "nine hundred ninety-seven trillion, seven hundred sixty-five billion, three hundred ninety-four million, two hundred fifty thousand, two hundred forty".