4794227792640 has 4032 divisors, whose sum is σ = 22339490181120. Its totient is φ = 967458816000.

The previous prime is 4794227792593. The next prime is 4794227792687. The reversal of 4794227792640 is 462977224974.

4794227792640 is a `hidden beast` number, since 479 + 4 + 2 + 2 + 77 + 92 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4794227792593) and next prime (4794227792687).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 78593898210 + ... + 78593898270.

It is an arithmetic number, because the mean of its divisors is an integer number (5540548160).

Almost surely, 2^{4794227792640} is an apocalyptic number.

4794227792640 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 4794227792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169745090560).

4794227792640 is an abundant number, since it is smaller than the sum of its proper divisors (17545262388480).

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

4794227792640 is a wasteful number, since it uses less digits than its factorization.

4794227792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 4794227792640 in words is "four trillion, seven hundred ninety-four billion, two hundred twenty-seven million, seven hundred ninety-two thousand, six hundred forty".