4876562627040 has 1152 divisors, whose sum is σ = 18677697196032. Its totient is φ = 1063434977280.

The previous prime is 4876562627017. The next prime is 4876562627191. The reversal of 4876562627040 is 407262656784.

It is a super-2 number, since 2×4876562627040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1581757339 + ... + 1581760421.

It is an arithmetic number, because the mean of its divisors is an integer number (16213278816).

Almost surely, 2^{4876562627040} is an apocalyptic number.

4876562627040 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 4876562627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9338848598016).

4876562627040 is an abundant number, since it is smaller than the sum of its proper divisors (13801134568992).

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

4876562627040 is a wasteful number, since it uses less digits than its factorization.

4876562627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 4876562627040 in words is "four trillion, eight hundred seventy-six billion, five hundred sixty-two million, six hundred twenty-seven thousand, forty".