7381654212240 has 960 divisors, whose sum is σ = 31821963264000. Its totient is φ = 1488828211200.

The previous prime is 7381654212239. The next prime is 7381654212311. The reversal of 7381654212240 is 422124561837.

7381654212240 is a `hidden beast` number, since 7 + 3 + 8 + 165 + 421 + 22 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 452326801 + ... + 452343119.

It is an arithmetic number, because the mean of its divisors is an integer number (33147878400).

Almost surely, 2^{7381654212240} is an apocalyptic number.

7381654212240 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 7381654212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15910981632000).

7381654212240 is an abundant number, since it is smaller than the sum of its proper divisors (24440309051760).

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

7381654212240 is a wasteful number, since it uses less digits than its factorization.

7381654212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596 (or 16587 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 7381654212240 in words is "seven trillion, three hundred eighty-one billion, six hundred fifty-four million, two hundred twelve thousand, two hundred forty".