6355520720640 has 4608 divisors, whose sum is σ = 31225046630400. Its totient is φ = 1186749480960.

The previous prime is 6355520720603. The next prime is 6355520720723. The reversal of 6355520720640 is 460270255536.

6355520720640 is a `hidden beast` number, since 6 + 3 + 55 + 520 + 72 + 0 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 87061927644 + ... + 87061927716.

It is an arithmetic number, because the mean of its divisors is an integer number (6776268800).

Almost surely, 2^{6355520720640} is an apocalyptic number.

6355520720640 is a gapful number since it is divisible by the number (60) 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 6355520720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612523315200).

6355520720640 is an abundant number, since it is smaller than the sum of its proper divisors (24869525909760).

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

6355520720640 is a wasteful number, since it uses less digits than its factorization.

6355520720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 6355520720640 in words is "six trillion, three hundred fifty-five billion, five hundred twenty million, seven hundred twenty thousand, six hundred forty".