469772766720 has 320 divisors, whose sum is σ = 1766833611840. Its totient is φ = 117903458304.

The previous prime is 469772766653. The next prime is 469772766733. The reversal of 469772766720 is 27667277964.

It is a happy number.

469772766720 is a `hidden beast` number, since 469 + 77 + 27 + 6 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975144 + ... + 1374936.

It is an arithmetic number, because the mean of its divisors is an integer number (5521355037).

Almost surely, 2^469772766720 is an apocalyptic number.

469772766720 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 469772766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883416805920).

469772766720 is an abundant number, since it is smaller than the sum of its proper divisors (1297060845120).

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

469772766720 is a wasteful number, since it uses less digits than its factorization.

469772766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399842 (or 399820 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 469772766720 in words is "four hundred sixty-nine billion, seven hundred seventy-two million, seven hundred sixty-six thousand, seven hundred twenty".