7649244540 has 288 divisors, whose sum is σ = 27315864576. Its totient is φ = 1696250880.

The previous prime is 7649244529. The next prime is 7649244563. The reversal of 7649244540 is 454429467.

7649244540 is a `hidden beast` number, since 7 + 64 + 9 + 2 + 44 + 540 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13586299 + ... + 13586861.

It is an arithmetic number, because the mean of its divisors is an integer number (94846752).

Almost surely, 2^7649244540 is an apocalyptic number.

7649244540 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 7649244540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657932288).

7649244540 is an abundant number, since it is smaller than the sum of its proper divisors (19666620036).

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

7649244540 is a wasteful number, since it uses less digits than its factorization.

7649244540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7649244540 is about 87459.9596386827. The cubic root of 7649244540 is about 1970.3324732820.

The spelling of 7649244540 in words is "seven billion, six hundred forty-nine million, two hundred forty-four thousand, five hundred forty".