7482946980600 has 576 divisors, whose sum is σ = 32748909560640. Its totient is φ = 1485947289600.

The previous prime is 7482946980599. The next prime is 7482946980637. The reversal of 7482946980600 is 60896492847.

7482946980600 is a `hidden beast` number, since 7 + 482 + 9 + 4 + 6 + 98 + 0 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1440970 + ... + 4128230.

It is an arithmetic number, because the mean of its divisors is an integer number (56855745765).

Almost surely, 2^{7482946980600} is an apocalyptic number.

7482946980600 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 7482946980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374454780320).

7482946980600 is an abundant number, since it is smaller than the sum of its proper divisors (25265962580040).

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

7482946980600 is a wasteful number, since it uses less digits than its factorization.

7482946980600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687320 (or 2687308 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 7482946980600 in words is "seven trillion, four hundred eighty-two billion, nine hundred forty-six million, nine hundred eighty thousand, six hundred".