874431728640 has 1056 divisors, whose sum is σ = 3360496688640. Its totient is φ = 217379635200.

The previous prime is 874431728591. The next prime is 874431728647. The reversal of 874431728640 is 46827134478.

874431728640 is a `hidden beast` number, since 8 + 7 + 4 + 4 + 317 + 286 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (874431728647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1678371580 + ... + 1678372100.

Almost surely, 2^874431728640 is an apocalyptic number.

874431728640 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 874431728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680248344320).

874431728640 is an abundant number, since it is smaller than the sum of its proper divisors (2486064960000).

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

874431728640 is a wasteful number, since it uses less digits than its factorization.

874431728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 874431728640 in words is "eight hundred seventy-four billion, four hundred thirty-one million, seven hundred twenty-eight thousand, six hundred forty".