7407388481472 has 840 divisors, whose sum is σ = 25792389798912. Its totient is φ = 2058705331200.

The previous prime is 7407388481393. The next prime is 7407388481509. The reversal of 7407388481472 is 2741848837047.

7407388481472 is a `hidden beast` number, since 7 + 4 + 0 + 7 + 3 + 8 + 84 + 81 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27333536697 + ... + 27333536967.

Almost surely, 2^{7407388481472} is an apocalyptic number.

7407388481472 is a gapful number since it is divisible by the number (72) 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 7407388481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896194899456).

7407388481472 is an abundant number, since it is smaller than the sum of its proper divisors (18385001317440).

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

7407388481472 is a wasteful number, since it uses less digits than its factorization.

7407388481472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 7407388481472 in words is "seven trillion, four hundred seven billion, three hundred eighty-eight million, four hundred eighty-one thousand, four hundred seventy-two".