7605666720 has 576 divisors, whose sum is σ = 29363233536. Its totient is φ = 1851310080.

The previous prime is 7605666661. The next prime is 7605666727. The reversal of 7605666720 is 276665067.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7605666727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24455365 + ... + 24455675.

It is an arithmetic number, because the mean of its divisors is an integer number (50977836).

Almost surely, 2^7605666720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7605666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681616768).

7605666720 is an abundant number, since it is smaller than the sum of its proper divisors (21757566816).

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

7605666720 is a wasteful number, since it uses less digits than its factorization.

7605666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7605666720 is about 87210.4736829241. The cubic root of 7605666720 is about 1966.5836775604.

The spelling of 7605666720 in words is "seven billion, six hundred five million, six hundred sixty-six thousand, seven hundred twenty".