7478556180480 has 4320 divisors, whose sum is σ = 37005579741312. Its totient is φ = 1426902220800.

The previous prime is 7478556180461. The next prime is 7478556180493. The reversal of 7478556180480 is 840816558747.

It is a happy number.

7478556180480 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 5 + 5 + 618 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 287 ways as a sum of consecutive naturals, for example, 182403809260 + ... + 182403809300.

Almost surely, 2^{7478556180480} is an apocalyptic number.

7478556180480 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 7478556180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502789870656).

7478556180480 is an abundant number, since it is smaller than the sum of its proper divisors (29527023560832).

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

7478556180480 is a wasteful number, since it uses less digits than its factorization.

7478556180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

It can be divided in two parts, 74785 and 56180480, that added together give a palindrome (56255265).

The spelling of 7478556180480 in words is "seven trillion, four hundred seventy-eight billion, five hundred fifty-six million, one hundred eighty thousand, four hundred eighty".