7621123328 has 288 divisors, whose sum is σ = 19757402112. Its totient is φ = 2853273600.

The previous prime is 7621123327. The next prime is 7621123331. The reversal of 7621123328 is 8233211267.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7621123327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44052650 + ... + 44052822.

Almost surely, 2^7621123328 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 7621123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9878701056).

7621123328 is an abundant number, since it is smaller than the sum of its proper divisors (12136278784).

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

7621123328 is a wasteful number, since it uses less digits than its factorization.

7621123328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 7621123328 is about 87299.0454014246. The cubic root of 7621123328 is about 1967.9149719802.

The spelling of 7621123328 in words is "seven billion, six hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty-eight".