7867146240 has 168 divisors, whose sum is σ = 27272386908. Its totient is φ = 2097807360.

The previous prime is 7867146233. The next prime is 7867146281. The reversal of 7867146240 is 426417687.

7867146240 is a `hidden beast` number, since 7 + 8 + 6 + 7 + 14 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7234523136 + 632623104 = 85056^2 + 25152^2 .

It is a super-2 number, since 2×7867146240² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357970 + ... + 379310.

Almost surely, 2^7867146240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7867146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636193454).

7867146240 is an abundant number, since it is smaller than the sum of its proper divisors (19405240668).

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

7867146240 is a wasteful number, since it uses less digits than its factorization.

7867146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21378 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7867146240 is about 88696.9347835651. The cubic root of 7867146240 is about 1988.8669964380.

The spelling of 7867146240 in words is "seven billion, eight hundred sixty-seven million, one hundred forty-six thousand, two hundred forty".