7461288420 has 48 divisors (see below), whose sum is σ = 20979060480. Its totient is φ = 1981348096.

The previous prime is 7461288361. The next prime is 7461288427. The reversal of 7461288420 is 248821647.

It is not an unprimeable number, because it can be changed into a prime (7461288427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245817 + ... + 274496.

It is an arithmetic number, because the mean of its divisors is an integer number (437063760).

Almost surely, 2^7461288420 is an apocalyptic number.

It is an amenable number.

7461288420 is an abundant number, since it is smaller than the sum of its proper divisors (13517772060).

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

7461288420 is a wasteful number, since it uses less digits than its factorization.

7461288420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520564 (or 520562 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 7461288420 is about 86378.7498173017. The cubic root of 7461288420 is about 1954.0602159760.

The spelling of 7461288420 in words is "seven billion, four hundred sixty-one million, two hundred eighty-eight thousand, four hundred twenty".