7047625728 has 352 divisors, whose sum is σ = 22515558912. Its totient is φ = 1931673600.

The previous prime is 7047625721. The next prime is 7047625771. The reversal of 7047625728 is 8275267407.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7047625721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26796925 + ... + 26797187.

It is an arithmetic number, because the mean of its divisors is an integer number (63964656).

Almost surely, 2^7047625728 is an apocalyptic number.

7047625728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7047625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257779456).

7047625728 is an abundant number, since it is smaller than the sum of its proper divisors (15467933184).

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

7047625728 is a wasteful number, since it uses less digits than its factorization.

7047625728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 7047625728 is about 83950.1383441385. The cubic root of 7047625728 is about 1917.2597019126.

The spelling of 7047625728 in words is "seven billion, forty-seven million, six hundred twenty-five thousand, seven hundred twenty-eight".