7620461544960 has 1600 divisors, whose sum is σ = 31403505475584. Its totient is φ = 1748990361600.

The previous prime is 7620461544907. The next prime is 7620461545001. The reversal of 7620461544960 is 694451640267.

7620461544960 is a `hidden beast` number, since 7 + 6 + 2 + 0 + 4 + 6 + 1 + 544 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7620461544897 and 7620461544906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3323357574 + ... + 3323359866.

Almost surely, 2^{7620461544960} 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 7620461544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701752737792).

7620461544960 is an abundant number, since it is smaller than the sum of its proper divisors (23783043930624).

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

7620461544960 is a wasteful number, since it uses less digits than its factorization.

7620461544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 7620461544960 in words is "seven trillion, six hundred twenty billion, four hundred sixty-one million, five hundred forty-four thousand, nine hundred sixty".