264992742000 has 640 divisors, whose sum is σ = 1114251540480. Its totient is φ = 58929638400.

The previous prime is 264992741987. The next prime is 264992742019. The reversal of 264992742000 is 247299462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13976527 + ... + 13995473.

It is an arithmetic number, because the mean of its divisors is an integer number (1741018032).

Almost surely, 2^264992742000 is an apocalyptic number.

264992742000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264992742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557125770240).

264992742000 is an abundant number, since it is smaller than the sum of its proper divisors (849258798480).

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

264992742000 is a wasteful number, since it uses less digits than its factorization.

264992742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19023 (or 19001 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 264992742000 in words is "two hundred sixty-four billion, nine hundred ninety-two million, seven hundred forty-two thousand".