897623760000 has 640 divisors, whose sum is σ = 3391842263040. Its totient is φ = 208130560000.

The previous prime is 897623759951. The next prime is 897623760041. The reversal of 897623760000 is 67326798.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60712609 + ... + 60727391.

It is an arithmetic number, because the mean of its divisors is an integer number (5299753536).

Almost surely, 2^897623760000 is an apocalyptic number.

897623760000 is a gapful number since it is divisible by the number (80) 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 897623760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695921131520).

897623760000 is an abundant number, since it is smaller than the sum of its proper divisors (2494218503040).

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

897623760000 is a wasteful number, since it uses less digits than its factorization.

897623760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14854 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 897623760000 in words is "eight hundred ninety-seven billion, six hundred twenty-three million, seven hundred sixty thousand".