7651383840 has 288 divisors, whose sum is σ = 26738449920. Its totient is φ = 1991927808.

The previous prime is 7651383767. The next prime is 7651383841. The reversal of 7651383840 is 483831567.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (7651383841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11716954 + ... + 11717606.

It is an arithmetic number, because the mean of its divisors is an integer number (92841840).

Almost surely, 2^7651383840 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 7651383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369224960).

7651383840 is an abundant number, since it is smaller than the sum of its proper divisors (19087066080).

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

7651383840 is a wasteful number, since it uses less digits than its factorization.

7651383840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

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

The square root of 7651383840 is about 87472.1889516891. The cubic root of 7651383840 is about 1970.5161401938.

The spelling of 7651383840 in words is "seven billion, six hundred fifty-one million, three hundred eighty-three thousand, eight hundred forty".