4726407680640 has 512 divisors, whose sum is σ = 16873606713600. Its totient is φ = 1250295201792.

The previous prime is 4726407680629. The next prime is 4726407680671. The reversal of 4726407680640 is 460867046274.

4726407680640 is a `hidden beast` number, since 472 + 6 + 40 + 76 + 8 + 0 + 64 + 0 = 666.

It is a super-2 number, since 2×4726407680640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2395542694 + ... + 2395544666.

Almost surely, 2^{4726407680640} is an apocalyptic number.

4726407680640 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 4726407680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436803356800).

4726407680640 is an abundant number, since it is smaller than the sum of its proper divisors (12147199032960).

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

4726407680640 is a wasteful number, since it uses less digits than its factorization.

4726407680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 4726407680640 in words is "four trillion, seven hundred twenty-six billion, four hundred seven million, six hundred eighty thousand, six hundred forty".