773814972672 has 432 divisors, whose sum is σ = 2669274316800. Its totient is φ = 210934886400.

The previous prime is 773814972631. The next prime is 773814972691. The reversal of 773814972672 is 276279418377.

773814972672 is a `hidden beast` number, since 7 + 7 + 3 + 81 + 497 + 2 + 67 + 2 = 666.

It is a super-2 number, since 2×773814972672² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35486829 + ... + 35508627.

Almost surely, 2^773814972672 is an apocalyptic number.

773814972672 is a gapful number since it is divisible by the number (72) 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 773814972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334637158400).

773814972672 is an abundant number, since it is smaller than the sum of its proper divisors (1895459344128).

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

773814972672 is a wasteful number, since it uses less digits than its factorization.

773814972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21930 (or 21913 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The spelling of 773814972672 in words is "seven hundred seventy-three billion, eight hundred fourteen million, nine hundred seventy-two thousand, six hundred seventy-two".