7840649250 has 432 divisors, whose sum is σ = 26160993144. Its totient is φ = 1689206400.

The previous prime is 7840649233. The next prime is 7840649321. The reversal of 7840649250 is 529460487.

It is a happy number.

7840649250 is a `hidden beast` number, since 78 + 40 + 6 + 492 + 50 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4764726729 + 3075922521 = 69027^2 + 55461^2 .

It is a super-2 number, since 2×7840649250² (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 a junction number, because it is equal to n+sod(n) for n = 7840649196 and 7840649205.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 39800152 + ... + 39800348.

Almost surely, 2^7840649250 is an apocalyptic number.

7840649250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7840649250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080496572).

7840649250 is an abundant number, since it is smaller than the sum of its proper divisors (18320343894).

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

7840649250 is a wasteful number, since it uses less digits than its factorization.

7840649250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7840649250 is about 88547.4406744769. The cubic root of 7840649250 is about 1986.6316130413.

The spelling of 7840649250 in words is "seven billion, eight hundred forty million, six hundred forty-nine thousand, two hundred fifty".