4197756640 has 384 divisors, whose sum is σ = 13237862400. Its totient is φ = 1218447360.

The previous prime is 4197756631. The next prime is 4197756649. The reversal of 4197756640 is 466577914.

It is an interprime number because it is at equal distance from previous prime (4197756631) and next prime (4197756649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197756649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18492207 + ... + 18492433.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^4197756640 is an apocalyptic number.

4197756640 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 4197756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618931200).

4197756640 is an abundant number, since it is smaller than the sum of its proper divisors (9040105760).

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

4197756640 is a wasteful number, since it uses less digits than its factorization.

4197756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 4197756640 is about 64790.0967741213. The cubic root of 4197756640 is about 1613.1413328570.

The spelling of 4197756640 in words is "four billion, one hundred ninety-seven million, seven hundred fifty-six thousand, six hundred forty".