612648009792 has 252 divisors, whose sum is σ = 2199881745516. Its totient is φ = 161577400320.

The previous prime is 612648009751. The next prime is 612648009871. The reversal of 612648009792 is 297900846216.

It can be written as a sum of positive squares in 2 ways, for example, as 261349978176 + 351298031616 = 511224^2 + 592704^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×612648009792³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 467959 + ... + 1201782.

Almost surely, 2^612648009792 is an apocalyptic number.

It is an amenable number.

612648009792 is an abundant number, since it is smaller than the sum of its proper divisors (1587233735724).

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

612648009792 is a wasteful number, since it uses less digits than its factorization.

612648009792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669786 (or 1669766 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 612648009792 in words is "six hundred twelve billion, six hundred forty-eight million, nine thousand, seven hundred ninety-two".