4526979628900 has 81 divisors (see below), whose sum is σ = 9873243940651. Its totient is φ = 1801676913280.

The previous prime is 4526979628883. The next prime is 4526979628973. The reversal of 4526979628900 is 98269796254.

The square root of 4526979628900 is 2127670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 370372050724 + 4156607578176 = 608582^2 + 2038776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5595771696 + ... + 5595772504.

Almost surely, 2^{4526979628900} is an apocalyptic number.

4526979628900 is the 2127670-th square number.

It is an amenable number.

4526979628900 is an abundant number, since it is smaller than the sum of its proper divisors (5346264311751).

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

4526979628900 is an frugal number, since it uses more digits than its factorization.

4526979628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 4526979628900 in words is "four trillion, five hundred twenty-six billion, nine hundred seventy-nine million, six hundred twenty-eight thousand, nine hundred".