397749864960 has 1440 divisors, whose sum is σ = 1739636870400. Its totient is φ = 85136375808.

The previous prime is 397749864959. The next prime is 397749864971. The reversal of 397749864960 is 69468947793.

397749864960 is a `hidden beast` number, since 3 + 9 + 77 + 498 + 6 + 4 + 9 + 60 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1998742941 + ... + 1998743139.

It is an arithmetic number, because the mean of its divisors is an integer number (1208081160).

Almost surely, 2^397749864960 is an apocalyptic number.

397749864960 is a gapful number since it is divisible by the number (30) 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 397749864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869818435200).

397749864960 is an abundant number, since it is smaller than the sum of its proper divisors (1341887005440).

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

397749864960 is an frugal number, since it uses more digits than its factorization.

397749864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 397749864960 in words is "three hundred ninety-seven billion, seven hundred forty-nine million, eight hundred sixty-four thousand, nine hundred sixty".