1807064640 has 336 divisors, whose sum is σ = 6829909632. Its totient is φ = 453206016.

The previous prime is 1807064603. The next prime is 1807064647. The reversal of 1807064640 is 464607081.

1807064640 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 0 + 6 + 4 + 640 = 666.

It is a super-2 number, since 2×1807064640² = 6530965226276659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1807064595 and 1807064604.

It is not an unprimeable number, because it can be changed into a prime (1807064647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321237 + ... + 1322603.

It is an arithmetic number, because the mean of its divisors is an integer number (20327112).

Almost surely, 2^1807064640 is an apocalyptic number.

1807064640 is a gapful number since it is divisible by the number (10) 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 1807064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414954816).

1807064640 is an abundant number, since it is smaller than the sum of its proper divisors (5022844992).

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

1807064640 is a wasteful number, since it uses less digits than its factorization.

1807064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1807064640 is about 42509.5829196194. The cubic root of 1807064640 is about 1218.0297500559.

The spelling of 1807064640 in words is "one billion, eight hundred seven million, sixty-four thousand, six hundred forty".