7478345064960 has 1440 divisors, whose sum is σ = 34801378140672. Its totient is φ = 1462492200960.

The previous prime is 7478345064959. The next prime is 7478345064991. The reversal of 7478345064960 is 694605438747.

It is a happy number.

7478345064960 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 34 + 506 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×7478345064960² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211097809 + ... + 211133231.

Almost surely, 2^{7478345064960} is an apocalyptic number.

7478345064960 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 7478345064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400689070336).

7478345064960 is an abundant number, since it is smaller than the sum of its proper divisors (27323033075712).

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

7478345064960 is a wasteful number, since it uses less digits than its factorization.

7478345064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35494 (or 35468 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 7478345064960 in words is "seven trillion, four hundred seventy-eight billion, three hundred forty-five million, sixty-four thousand, nine hundred sixty".