7620969600 has 288 divisors, whose sum is σ = 27583770240. Its totient is φ = 2003097600.

The previous prime is 7620969581. The next prime is 7620969607. The reversal of 7620969600 is 69690267.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (7620969607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2042937 + ... + 2046663.

It is an arithmetic number, because the mean of its divisors is an integer number (95776980).

Almost surely, 2^7620969600 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 7620969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791885120).

7620969600 is an abundant number, since it is smaller than the sum of its proper divisors (19962800640).

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

7620969600 is a wasteful number, since it uses less digits than its factorization.

7620969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 7620969600 is about 87298.1649291668. The cubic root of 7620969600 is about 1967.9017400871.

The spelling of 7620969600 in words is "seven billion, six hundred twenty million, nine hundred sixty-nine thousand, six hundred".