7380605952 has 154 divisors (see below), whose sum is σ = 22123124448. Its totient is φ = 2459953152.

The previous prime is 7380605951. The next prime is 7380605963. The reversal of 7380605952 is 2595060837.

It is a happy number.

7380605952 is a `hidden beast` number, since 7 + 38 + 0 + 605 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7380605898 and 7380605907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7380605951) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 741553 + ... + 751439.

Almost surely, 2^7380605952 is an apocalyptic number.

7380605952 is a gapful number since it is divisible by the number (72) 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 7380605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11061562224).

7380605952 is an abundant number, since it is smaller than the sum of its proper divisors (14742518496).

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

7380605952 is an frugal number, since it uses more digits than its factorization.

7380605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9925 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 7380605952 is about 85910.4531008887. The cubic root of 7380605952 is about 1946.9912796588.

The spelling of 7380605952 in words is "seven billion, three hundred eighty million, six hundred five thousand, nine hundred fifty-two".