4726690657920 has 2048 divisors, whose sum is σ = 21770295091200. Its totient is φ = 940704399360.

The previous prime is 4726690657903. The next prime is 4726690657961. The reversal of 4726690657920 is 297560966274.

4726690657920 is a `hidden beast` number, since 472 + 6 + 6 + 90 + 6 + 5 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3298457524 + ... + 3298458956.

It is an arithmetic number, because the mean of its divisors is an integer number (10630026900).

Almost surely, 2^{4726690657920} is an apocalyptic number.

4726690657920 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 4726690657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10885147545600).

4726690657920 is an abundant number, since it is smaller than the sum of its proper divisors (17043604433280).

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

4726690657920 is a wasteful number, since it uses less digits than its factorization.

4726690657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 4726690657920 in words is "four trillion, seven hundred twenty-six billion, six hundred ninety million, six hundred fifty-seven thousand, nine hundred twenty".