4365287640 has 320 divisors, whose sum is σ = 17349076800. Its totient is φ = 963228672.

The previous prime is 4365287629. The next prime is 4365287651. The reversal of 4365287640 is 467825634.

4365287640 is a `hidden beast` number, since 4 + 365 + 287 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4365287629) and next prime (4365287651).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 654402 + ... + 661038.

It is an arithmetic number, because the mean of its divisors is an integer number (54215865).

Almost surely, 2^4365287640 is an apocalyptic number.

4365287640 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 4365287640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674538400).

4365287640 is an abundant number, since it is smaller than the sum of its proper divisors (12983789160).

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

4365287640 is a wasteful number, since it uses less digits than its factorization.

4365287640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4365287640 is about 66070.3234440395. The cubic root of 4365287640 is about 1634.3219813069.

The spelling of 4365287640 in words is "four billion, three hundred sixty-five million, two hundred eighty-seven thousand, six hundred forty".