4268452635720 has 2880 divisors, whose sum is σ = 20143964720880. Its totient is φ = 800625917952.

The previous prime is 4268452635661. The next prime is 4268452635731. The reversal of 4268452635720 is 275362548624.

4268452635720 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 4 + 5 + 2 + 63 + 572 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1155422908836 + 3113029726884 = 1074906^2 + 1764378^2 .

It is a super-3 number, since 3×4268452635720³ (a number of 39 digits) contains 333 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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 12666031392 + ... + 12666031728.

Almost surely, 2^{4268452635720} is an apocalyptic number.

4268452635720 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 4268452635720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10071982360440).

4268452635720 is an abundant number, since it is smaller than the sum of its proper divisors (15875512085160).

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

4268452635720 is a wasteful number, since it uses less digits than its factorization.

4268452635720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 4268452635720 in words is "four trillion, two hundred sixty-eight billion, four hundred fifty-two million, six hundred thirty-five thousand, seven hundred twenty".