874690643312640 has 3240 divisors, whose sum is σ = 4021158783803616. Its totient is φ = 181729375027200.

The previous prime is 874690643312579. The next prime is 874690643312641. The reversal of 874690643312640 is 46213346096478.

874690643312640 is a `hidden beast` number, since 8 + 7 + 46 + 90 + 6 + 433 + 12 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874690643312641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 118025990535 + ... + 118025997945.

Almost surely, 2^{874690643312640} is an apocalyptic number.

874690643312640 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 874690643312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010579391901808).

874690643312640 is an abundant number, since it is smaller than the sum of its proper divisors (3146468140490976).

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

874690643312640 is an equidigital number, since it uses as much as digits as its factorization.

874690643312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 874690643312640 in words is "eight hundred seventy-four trillion, six hundred ninety billion, six hundred forty-three million, three hundred twelve thousand, six hundred forty".