7470144900 has 243 divisors, whose sum is σ = 24335077221. Its totient is φ = 1916671680.

The previous prime is 7470144883. The next prime is 7470144911. The reversal of 7470144900 is 94410747.

The square root of 7470144900 is 86430.

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., 2689252164 + 4780892736 = 51858^2 + 69144^2 .

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 80 ways as a sum of consecutive naturals, for example, 111494667 + ... + 111494733.

Almost surely, 2^7470144900 is an apocalyptic number.

7470144900 is the 86430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7470144900

7470144900 is an abundant number, since it is smaller than the sum of its proper divisors (16864932321).

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

7470144900 is a wasteful number, since it uses less digits than its factorization.

7470144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

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

The cubic root of 7470144900 is about 1954.8330607077.

Multiplying 7470144900 by its sum of digits (36), we get a square (268925216400 = 518580²).

7470144900 divided by its sum of digits (36) gives a square (207504025 = 14405²).

Multiplying 7470144900 by its product of nonzero digits (28224), we get a square (210837369657600 = 14520240²).

The spelling of 7470144900 in words is "seven billion, four hundred seventy million, one hundred forty-four thousand, nine hundred".