6620638752 has 576 divisors, whose sum is σ = 24832604160. Its totient is φ = 1625702400.

The previous prime is 6620638727. The next prime is 6620638777. The reversal of 6620638752 is 2578360266.

It is a happy number.

6620638752 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 638 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6620638727) and next prime (6620638777).

It is a junction number, because it is equal to n+sod(n) for n = 6620638698 and 6620638707.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23560852 + ... + 23561132.

It is an arithmetic number, because the mean of its divisors is an integer number (43112160).

Almost surely, 2^6620638752 is an apocalyptic number.

6620638752 is a gapful number since it is divisible by the number (62) 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 6620638752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416302080).

6620638752 is an abundant number, since it is smaller than the sum of its proper divisors (18211965408).

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

6620638752 is a wasteful number, since it uses less digits than its factorization.

6620638752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

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

The square root of 6620638752 is about 81367.3076364212. The cubic root of 6620638752 is about 1877.7306584984.

The spelling of 6620638752 in words is "six billion, six hundred twenty million, six hundred thirty-eight thousand, seven hundred fifty-two".