7628101824 has 336 divisors, whose sum is σ = 25152583680. Its totient is φ = 1997045760.

The previous prime is 7628101757. The next prime is 7628101837. The reversal of 7628101824 is 4281018267.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15924817 + ... + 15925295.

It is an arithmetic number, because the mean of its divisors is an integer number (74858880).

Almost surely, 2^7628101824 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 7628101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576291840).

7628101824 is an abundant number, since it is smaller than the sum of its proper divisors (17524481856).

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

7628101824 is a wasteful number, since it uses less digits than its factorization.

7628101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 7628101824 is about 87339.0051695117. The cubic root of 7628101824 is about 1968.5154476409.

The spelling of 7628101824 in words is "seven billion, six hundred twenty-eight million, one hundred one thousand, eight hundred twenty-four".