6850621440 has 416 divisors, whose sum is σ = 26255759040. Its totient is φ = 1684537344.

The previous prime is 6850621439. The next prime is 6850621457. The reversal of 6850621440 is 441260586.

6850621440 is a `hidden beast` number, since 6 + 8 + 506 + 2 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×6850621440² = 93862028228375347200, 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 = 6850621395 and 6850621404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7188004 + ... + 7188956.

Almost surely, 2^6850621440 is an apocalyptic number.

6850621440 is a gapful number since it is divisible by the number (60) 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 6850621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13127879520).

6850621440 is an abundant number, since it is smaller than the sum of its proper divisors (19405137600).

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

6850621440 is a wasteful number, since it uses less digits than its factorization.

6850621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6850621440 is about 82768.4809574273. The cubic root of 6850621440 is about 1899.2260411906.

The spelling of 6850621440 in words is "six billion, eight hundred fifty million, six hundred twenty-one thousand, four hundred forty".