7415027316480 has 576 divisors, whose sum is σ = 29645121623040. Its totient is φ = 1540157079552.

The previous prime is 7415027316467. The next prime is 7415027316481. The reversal of 7415027316480 is 846137205147.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7415027316481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12972067 + ... + 13531613.

It is an arithmetic number, because the mean of its divisors is an integer number (51467225040).

Almost surely, 2^{7415027316480} is an apocalyptic number.

7415027316480 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 7415027316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822560811520).

7415027316480 is an abundant number, since it is smaller than the sum of its proper divisors (22230094306560).

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

7415027316480 is a wasteful number, since it uses less digits than its factorization.

7415027316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559624 (or 559610 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 7415027316480 in words is "seven trillion, four hundred fifteen billion, twenty-seven million, three hundred sixteen thousand, four hundred eighty".