2625377664 has 192 divisors, whose sum is σ = 8737046640. Its totient is φ = 692342784.

The previous prime is 2625377567. The next prime is 2625377683. The reversal of 2625377664 is 4667735262.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239242 + ... + 249974.

Almost surely, 2^2625377664 is an apocalyptic number.

2625377664 is a gapful number since it is divisible by the number (24) 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 2625377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368523320).

2625377664 is an abundant number, since it is smaller than the sum of its proper divisors (6111668976).

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

2625377664 is a wasteful number, since it uses less digits than its factorization.

2625377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10758 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The square root of 2625377664 is about 51238.4393204945. The cubic root of 2625377664 is about 1379.5282403414.

The spelling of 2625377664 in words is "two billion, six hundred twenty-five million, three hundred seventy-seven thousand, six hundred sixty-four".