7621290000 has 375 divisors, whose sum is σ = 27851051217. Its totient is φ = 2011392000.

The previous prime is 7621289983. The next prime is 7621290037. The reversal of 7621290000 is 921267.

The square root of 7621290000 is 87300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6176073744 + 1445216256 = 78588^2 + 38016^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×7621290000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 78569952 + ... + 78570048.

Almost surely, 2^7621290000 is an apocalyptic number.

7621290000 is the 87300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7621290000

7621290000 is an abundant number, since it is smaller than the sum of its proper divisors (20229761217).

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

7621290000 is an frugal number, since it uses more digits than its factorization.

7621290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 7621290000 is about 1967.9293178065.

The spelling of 7621290000 in words is "seven billion, six hundred twenty-one million, two hundred ninety thousand".