7149040704 has 189 divisors, whose sum is σ = 22271129829. Its totient is φ = 2191587840.

The previous prime is 7149040699. The next prime is 7149040721. The reversal of 7149040704 is 4070409417.

The square root of 7149040704 is 84552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1057550400 + 6091490304 = 32520^2 + 78048^2 .

It is a super-2 number, since 2×7149040704² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26380089 + ... + 26380359.

Almost surely, 2^7149040704 is an apocalyptic number.

7149040704 is the 84552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7149040704

7149040704 is an abundant number, since it is smaller than the sum of its proper divisors (15122089125).

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

7149040704 is a wasteful number, since it uses less digits than its factorization.

7149040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The cubic root of 7149040704 is about 1926.4123624130.

Multiplying 7149040704 by its sum of digits (36), we get a square (257365465344 = 507312²).

7149040704 divided by its sum of digits (36) gives a square (198584464 = 14092²).

Multiplying 7149040704 by its product of nonzero digits (28224), we get a square (201774524829696 = 14204736²).

The spelling of 7149040704 in words is "seven billion, one hundred forty-nine million, forty thousand, seven hundred four".