7481501866440 has 768 divisors, whose sum is σ = 29268913766400. Its totient is φ = 1694860070400.

The previous prime is 7481501866429. The next prime is 7481501866499. The reversal of 7481501866440 is 446681051847.

7481501866440 is a `hidden beast` number, since 7 + 4 + 8 + 15 + 0 + 186 + 6 + 440 = 666.

It is a super-3 number, since 3×7481501866440³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3103068835 + ... + 3103071245.

It is an arithmetic number, because the mean of its divisors is an integer number (38110564800).

Almost surely, 2^{7481501866440} is an apocalyptic number.

7481501866440 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 7481501866440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634456883200).

7481501866440 is an abundant number, since it is smaller than the sum of its proper divisors (21787411899960).

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

7481501866440 is a wasteful number, since it uses less digits than its factorization.

7481501866440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 7481501866440 in words is "seven trillion, four hundred eighty-one billion, five hundred one million, eight hundred sixty-six thousand, four hundred forty".