7417738698480 has 480 divisors, whose sum is σ = 29091093408000. Its totient is φ = 1674718986240.

The previous prime is 7417738698457. The next prime is 7417738698481. The reversal of 7417738698480 is 848968377147.

7417738698480 is a `hidden beast` number, since 7 + 4 + 17 + 73 + 8 + 69 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7417738698399 and 7417738698408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7417738698481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8460576 + ... + 9296064.

It is an arithmetic number, because the mean of its divisors is an integer number (60606444600).

Almost surely, 2^{7417738698480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7417738698480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545546704000).

7417738698480 is an abundant number, since it is smaller than the sum of its proper divisors (21673354709520).

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

7417738698480 is a wasteful number, since it uses less digits than its factorization.

7417738698480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835597 (or 835588 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 7417738698480 in words is "seven trillion, four hundred seventeen billion, seven hundred thirty-eight million, six hundred ninety-eight thousand, four hundred eighty".