264654040560 has 480 divisors, whose sum is σ = 1017772144128. Its totient is φ = 55703531520.

The previous prime is 264654040543. The next prime is 264654040577. The reversal of 264654040560 is 65040456462.

It is an interprime number because it is at equal distance from previous prime (264654040543) and next prime (264654040577).

It is a super-2 number, since 2×264654040560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153599859 + ... + 153601581.

Almost surely, 2^264654040560 is an apocalyptic number.

264654040560 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 264654040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508886072064).

264654040560 is an abundant number, since it is smaller than the sum of its proper divisors (753118103568).

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

264654040560 is a wasteful number, since it uses less digits than its factorization.

264654040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 264654040560 in words is "two hundred sixty-four billion, six hundred fifty-four million, forty thousand, five hundred sixty".