7413666372000 has 768 divisors, whose sum is σ = 31904424115200. Its totient is φ = 1636114636800.

The previous prime is 7413666371987. The next prime is 7413666372037. The reversal of 7413666372000 is 2736663147.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21754924 + ... + 22093076.

It is an arithmetic number, because the mean of its divisors is an integer number (41542218900).

Almost surely, 2^{7413666372000} is an apocalyptic number.

7413666372000 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 7413666372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952212057600).

7413666372000 is an abundant number, since it is smaller than the sum of its proper divisors (24490757743200).

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

7413666372000 is a wasteful number, since it uses less digits than its factorization.

7413666372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338223 (or 338199 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 7413666372000 in words is "seven trillion, four hundred thirteen billion, six hundred sixty-six million, three hundred seventy-two thousand".