7849250640 has 720 divisors, whose sum is σ = 33816252288. Its totient is φ = 1596672000.

The previous prime is 7849250627. The next prime is 7849250671. The reversal of 7849250640 is 460529487.

It is a happy number.

7849250640 is a `hidden beast` number, since 78 + 492 + 50 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7849250640² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37200135 + ... + 37200345.

Almost surely, 2^7849250640 is an apocalyptic number.

7849250640 is a gapful number since it is divisible by the number (70) 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 7849250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16908126144).

7849250640 is an abundant number, since it is smaller than the sum of its proper divisors (25967001648).

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

7849250640 is a wasteful number, since it uses less digits than its factorization.

7849250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

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

The square root of 7849250640 is about 88595.9967492888. The cubic root of 7849250640 is about 1987.3578092176.

The spelling of 7849250640 in words is "seven billion, eight hundred forty-nine million, two hundred fifty thousand, six hundred forty".