7650667728 has 200 divisors, whose sum is σ = 24227618976. Its totient is φ = 2311545600.

The previous prime is 7650667697. The next prime is 7650667753. The reversal of 7650667728 is 8277660567.

7650667728 is a `hidden beast` number, since 7 + 6 + 506 + 67 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6999150 + ... + 7000242.

Almost surely, 2^7650667728 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 7650667728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113809488).

7650667728 is an abundant number, since it is smaller than the sum of its proper divisors (16576951248).

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

7650667728 is a wasteful number, since it uses less digits than its factorization.

7650667728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 7650667728 is about 87468.0954862972. The cubic root of 7650667728 is about 1970.4546631107.

The spelling of 7650667728 in words is "seven billion, six hundred fifty million, six hundred sixty-seven thousand, seven hundred twenty-eight".