7628432576 has 56 divisors (see below), whose sum is σ = 16109935776. Its totient is φ = 3571527680.

The previous prime is 7628432573. The next prime is 7628432597. The reversal of 7628432576 is 6752348267.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7628432573) 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 7 ways as a sum of consecutive naturals, for example, 196541 + ... + 232131.

Almost surely, 2^7628432576 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 7628432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054967888).

7628432576 is an abundant number, since it is smaller than the sum of its proper divisors (8481503200).

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

7628432576 is a wasteful number, since it uses less digits than its factorization.

7628432576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35817 (or 35807 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 50.

The square root of 7628432576 is about 87340.8986443350. The cubic root of 7628432576 is about 1968.5438986250.

The spelling of 7628432576 in words is "seven billion, six hundred twenty-eight million, four hundred thirty-two thousand, five hundred seventy-six".