4692576874440 has 256 divisors, whose sum is σ = 17350299832320. Its totient is φ = 988718607360.

The previous prime is 4692576874439. The next prime is 4692576874499. The reversal of 4692576874440 is 444786752964.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7643295 + ... + 8234385.

It is an arithmetic number, because the mean of its divisors is an integer number (67774608720).

Almost surely, 2^{4692576874440} is an apocalyptic number.

4692576874440 is a gapful number since it is divisible by the number (40) 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 4692576874440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675149916160).

4692576874440 is an abundant number, since it is smaller than the sum of its proper divisors (12657722957880).

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

4692576874440 is a wasteful number, since it uses less digits than its factorization.

4692576874440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591852 (or 591848 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 66.

The spelling of 4692576874440 in words is "four trillion, six hundred ninety-two billion, five hundred seventy-six million, eight hundred seventy-four thousand, four hundred forty".