4627701872640 has 1728 divisors, whose sum is σ = 20711566512000. Its totient is φ = 944703406080.

The previous prime is 4627701872617. The next prime is 4627701872653. The reversal of 4627701872640 is 462781077264.

4627701872640 is a `hidden beast` number, since 4 + 627 + 7 + 0 + 1 + 8 + 7 + 2 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2930779371 + ... + 2930780949.

It is an arithmetic number, because the mean of its divisors is an integer number (11985860250).

Almost surely, 2^{4627701872640} is an apocalyptic number.

4627701872640 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 4627701872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10355783256000).

4627701872640 is an abundant number, since it is smaller than the sum of its proper divisors (16083864639360).

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

4627701872640 is a wasteful number, since it uses less digits than its factorization.

4627701872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 4627701872640 in words is "four trillion, six hundred twenty-seven billion, seven hundred one million, eight hundred seventy-two thousand, six hundred forty".