1867400640 has 336 divisors, whose sum is σ = 7392253440. Its totient is φ = 423843840.

The previous prime is 1867400621. The next prime is 1867400653. The reversal of 1867400640 is 460047681.

1867400640 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 4 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 1867400595 and 1867400604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4253541 + ... + 4253979.

Almost surely, 2^1867400640 is an apocalyptic number.

1867400640 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 1867400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696126720).

1867400640 is an abundant number, since it is smaller than the sum of its proper divisors (5524852800).

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

1867400640 is a wasteful number, since it uses less digits than its factorization.

1867400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 667 counting only the distinct ones).

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

The square root of 1867400640 is about 43213.4312453894. The cubic root of 1867400640 is about 1231.4378584584.

The spelling of 1867400640 in words is "one billion, eight hundred sixty-seven million, four hundred thousand, six hundred forty".