4287076246464 has 224 divisors, whose sum is σ = 12953142853632. Its totient is φ = 1239498624000.

The previous prime is 4287076246429. The next prime is 4287076246469. The reversal of 4287076246464 is 4646426707824.

It is a junction number, because it is equal to n+sod(n) for n = 4287076246398 and 4287076246407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287076246469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4187389 + ... + 5109635.

Almost surely, 2^{4287076246464} is an apocalyptic number.

4287076246464 is a gapful number since it is divisible by the number (44) 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 4287076246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476571426816).

4287076246464 is an abundant number, since it is smaller than the sum of its proper divisors (8666066607168).

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

4287076246464 is a wasteful number, since it uses less digits than its factorization.

4287076246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922375 (or 922365 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 60.

The spelling of 4287076246464 in words is "four trillion, two hundred eighty-seven billion, seventy-six million, two hundred forty-six thousand, four hundred sixty-four".