7005741120 has 672 divisors, whose sum is σ = 29784568320. Its totient is φ = 1476034560.

The previous prime is 7005741059. The next prime is 7005741121. The reversal of 7005741120 is 211475007.

7005741120 is a `hidden beast` number, since 70 + 0 + 574 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (7005741121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13446460 + ... + 13446980.

Almost surely, 2^7005741120 is an apocalyptic number.

7005741120 is a gapful number since it is divisible by the number (70) 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 7005741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892284160).

7005741120 is an abundant number, since it is smaller than the sum of its proper divisors (22778827200).

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

7005741120 is a wasteful number, since it uses less digits than its factorization.

7005741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 7005741120 is about 83700.3053757870. The cubic root of 7005741120 is about 1913.4540097441.

The spelling of 7005741120 in words is "seven billion, five million, seven hundred forty-one thousand, one hundred twenty".