464255978094720 has 1280 divisors, whose sum is σ = 1995006851481600. Its totient is φ = 100505910288384.

The previous prime is 464255978094719. The next prime is 464255978094751. The reversal of 464255978094720 is 27490879552464.

464255978094720 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 5 + 597 + 8 + 0 + 9 + 4 + 7 + 20 = 666.

It is a super-2 number, since 2×464255978094720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49690242369 + ... + 49690251711.

It is an arithmetic number, because the mean of its divisors is an integer number (1558599102720).

Almost surely, 2^{464255978094720} is an apocalyptic number.

464255978094720 is a gapful number since it is divisible by the number (40) 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 464255978094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997503425740800).

464255978094720 is an abundant number, since it is smaller than the sum of its proper divisors (1530750873386880).

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

464255978094720 is a wasteful number, since it uses less digits than its factorization.

464255978094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16586 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 464255978094720 in words is "four hundred sixty-four trillion, two hundred fifty-five billion, nine hundred seventy-eight million, ninety-four thousand, seven hundred twenty".