7461984600 has 288 divisors, whose sum is σ = 29899760400. Its totient is φ = 1705536000.

The previous prime is 7461984581. The next prime is 7461984601. The reversal of 7461984600 is 64891647.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461984601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250500 + ... + 278700.

Almost surely, 2^7461984600 is an apocalyptic number.

7461984600 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 7461984600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949880200).

7461984600 is an abundant number, since it is smaller than the sum of its proper divisors (22437775800).

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

7461984600 is a wasteful number, since it uses less digits than its factorization.

7461984600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28240 (or 28218 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7461984600 is about 86382.7795338863. The cubic root of 7461984600 is about 1954.1209890068.

The spelling of 7461984600 in words is "seven billion, four hundred sixty-one million, nine hundred eighty-four thousand, six hundred".