7974490000 has 225 divisors, whose sum is σ = 20819450487. Its totient is φ = 2957616000.

The previous prime is 7974489961. The next prime is 7974490001. The reversal of 7974490000 is 944797.

The square root of 7974490000 is 89300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 625200016 + 7349289984 = 25004^2 + 85728^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7974490001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 169669977 + ... + 169670023.

Almost surely, 2^7974490000 is an apocalyptic number.

7974490000 is the 89300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7974490000

7974490000 is an abundant number, since it is smaller than the sum of its proper divisors (12844960487).

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

7974490000 is an equidigital number, since it uses as much as digits as its factorization.

7974490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The cubic root of 7974490000 is about 1997.8719030715.

Multiplying 7974490000 by its product of nonzero digits (63504), we get a square (506412012960000 = 22503600²).

It can be divided in two parts, 79744 and 90000, that added together give a square (169744 = 412²).

The spelling of 7974490000 in words is "seven billion, nine hundred seventy-four million, four hundred ninety thousand".