264124400956416 has 5280 divisors, whose sum is σ = 1161764103413760. Its totient is φ = 57940033536000.

The previous prime is 264124400956399. The next prime is 264124400956487. The reversal of 264124400956416 is 614659004421462.

264124400956416 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 24 + 40 + 0 + 9 + 564 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 537931569931 + ... + 537931570421.

It is an arithmetic number, because the mean of its divisors is an integer number (220031080192).

Almost surely, 2^{264124400956416} is an apocalyptic number.

264124400956416 is a gapful number since it is divisible by the number (26) 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 264124400956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580882051706880).

264124400956416 is an abundant number, since it is smaller than the sum of its proper divisors (897639702457344).

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

264124400956416 is a wasteful number, since it uses less digits than its factorization.

264124400956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 264124400956416 in words is "two hundred sixty-four trillion, one hundred twenty-four billion, four hundred million, nine hundred fifty-six thousand, four hundred sixteen".