7620525880900 has 81 divisors (see below), whose sum is σ = 16952226539493. Its totient is φ = 2973422073600.

The previous prime is 7620525880889. The next prime is 7620525880907. The reversal of 7620525880900 is 90885250267.

The square root of 7620525880900 is 2760530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3762412813636 + 3858113067264 = 1939694^2 + 1964208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7620525880907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1131813934 + ... + 1131820666.

Almost surely, 2^{7620525880900} is an apocalyptic number.

7620525880900 is the 2760530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7620525880900

7620525880900 is an abundant number, since it is smaller than the sum of its proper divisors (9331700658593).

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

7620525880900 is an frugal number, since it uses more digits than its factorization.

7620525880900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13562 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 7620525880900 in words is "seven trillion, six hundred twenty billion, five hundred twenty-five million, eight hundred eighty thousand, nine hundred".