7461216322560 has 2464 divisors, whose sum is σ = 36048235168512. Its totient is φ = 1430405775360.

The previous prime is 7461216322529. The next prime is 7461216322691. The reversal of 7461216322560 is 652236121647.

7461216322560 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 2 + 1 + 63 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3736211482 + ... + 3736213478.

Almost surely, 2^{7461216322560} is an apocalyptic number.

7461216322560 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 7461216322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024117584256).

7461216322560 is an abundant number, since it is smaller than the sum of its proper divisors (28587018845952).

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

7461216322560 is a wasteful number, since it uses less digits than its factorization.

7461216322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 7461216322560 in words is "seven trillion, four hundred sixty-one billion, two hundred sixteen million, three hundred twenty-two thousand, five hundred sixty".