896272957440 has 1120 divisors, whose sum is σ = 3740845838400. Its totient is φ = 201804742656.

The previous prime is 896272957429. The next prime is 896272957469. The reversal of 896272957440 is 44759272698.

896272957440 is a `hidden beast` number, since 89 + 6 + 27 + 2 + 95 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13377208287 + ... + 13377208353.

Almost surely, 2^896272957440 is an apocalyptic number.

896272957440 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 896272957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870422919200).

896272957440 is an abundant number, since it is smaller than the sum of its proper divisors (2844572880960).

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

896272957440 is an frugal number, since it uses more digits than its factorization.

896272957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 896272957440 in words is "eight hundred ninety-six billion, two hundred seventy-two million, nine hundred fifty-seven thousand, four hundred forty".