6625435777632 has 144 divisors (see below), whose sum is σ = 21535362680832. Its totient is φ = 1892744605440.

The previous prime is 6625435777621. The next prime is 6625435777637. The reversal of 6625435777632 is 2367775345266.

6625435777632 is a `hidden beast` number, since 6 + 6 + 2 + 54 + 3 + 577 + 7 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6625435777632² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6625435777632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6625435777637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16222657 + ... + 16626047.

It is an arithmetic number, because the mean of its divisors is an integer number (149551129728).

Almost surely, 2^{6625435777632} is an apocalyptic number.

It is an amenable number.

6625435777632 is an abundant number, since it is smaller than the sum of its proper divisors (14909926903200).

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

6625435777632 is a wasteful number, since it uses less digits than its factorization.

6625435777632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411561 (or 411550 counting only the distinct ones).

The product of its digits is 266716800, while the sum is 63.

The spelling of 6625435777632 in words is "six trillion, six hundred twenty-five billion, four hundred thirty-five million, seven hundred seventy-seven thousand, six hundred thirty-two".