7428906576 has 320 divisors, whose sum is σ = 26579965440. Its totient is φ = 1958432256.

The previous prime is 7428906571. The next prime is 7428906599. The reversal of 7428906576 is 6756098247.

7428906576 is a `hidden beast` number, since 7 + 428 + 90 + 65 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7428906571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3183106 + ... + 3185438.

It is an arithmetic number, because the mean of its divisors is an integer number (83062392).

Almost surely, 2^7428906576 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 7428906576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289982720).

7428906576 is an abundant number, since it is smaller than the sum of its proper divisors (19151058864).

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

7428906576 is a wasteful number, since it uses less digits than its factorization.

7428906576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7428906576 is about 86191.1049702926. The cubic root of 7428906576 is about 1951.2292556989.

The spelling of 7428906576 in words is "seven billion, four hundred twenty-eight million, nine hundred six thousand, five hundred seventy-six".