397624668249600 has 3360 divisors, whose sum is σ = 1751106574863360. Its totient is φ = 88361238528000.

The previous prime is 397624668249587. The next prime is 397624668249629. The reversal of 397624668249600 is 6942866426793.

397624668249600 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 2 + 4 + 6 + 6 + 8 + 2 + 4 + 9 + 600 = 666.

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 335 ways as a sum of consecutive naturals, for example, 60456841512 + ... + 60456848088.

Almost surely, 2^{397624668249600} is an apocalyptic number.

397624668249600 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 397624668249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875553287431680).

397624668249600 is an abundant number, since it is smaller than the sum of its proper divisors (1353481906613760).

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

397624668249600 is a wasteful number, since it uses less digits than its factorization.

397624668249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 397624668249600 in words is "three hundred ninety-seven trillion, six hundred twenty-four billion, six hundred sixty-eight million, two hundred forty-nine thousand, six hundred".