892478798640 has 960 divisors, whose sum is σ = 3660424467840. Its totient is φ = 198534758400.

The previous prime is 892478798609. The next prime is 892478798647. The reversal of 892478798640 is 46897874298.

892478798640 is a `hidden beast` number, since 8 + 9 + 2 + 478 + 7 + 98 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (892478798647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 655751560 + ... + 655752920.

It is an arithmetic number, because the mean of its divisors is an integer number (3812942154).

Almost surely, 2^892478798640 is an apocalyptic number.

892478798640 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 892478798640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830212233920).

892478798640 is an abundant number, since it is smaller than the sum of its proper divisors (2767945669200).

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

892478798640 is a wasteful number, since it uses less digits than its factorization.

892478798640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 892478798640 in words is "eight hundred ninety-two billion, four hundred seventy-eight million, seven hundred ninety-eight thousand, six hundred forty".