7621478645760 has 2720 divisors, whose sum is σ = 35078877757440. Its totient is φ = 1541054398464.

The previous prime is 7621478645749. The next prime is 7621478645773. The reversal of 7621478645760 is 675468741267.

7621478645760 is a `hidden beast` number, since 7 + 6 + 2 + 1 + 47 + 86 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2720).

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 159 ways as a sum of consecutive naturals, for example, 60011642817 + ... + 60011642943.

Almost surely, 2^{7621478645760} is an apocalyptic number.

7621478645760 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 7621478645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539438878720).

7621478645760 is an abundant number, since it is smaller than the sum of its proper divisors (27457399111680).

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

7621478645760 is a wasteful number, since it uses less digits than its factorization.

7621478645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 7621478645760 in words is "seven trillion, six hundred twenty-one billion, four hundred seventy-eight million, six hundred forty-five thousand, seven hundred sixty".