54766812672 has 480 divisors, whose sum is σ = 196657100640. Its totient is φ = 14415298560.

The previous prime is 54766812671. The next prime is 54766812677. The reversal of 54766812672 is 27621866745.

It is a happy number.

54766812672 is a `hidden beast` number, since 5 + 476 + 6 + 81 + 26 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54766812671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11199604 + ... + 11204492.

It is an arithmetic number, because the mean of its divisors is an integer number (409702293).

Almost surely, 2^54766812672 is an apocalyptic number.

54766812672 is a gapful number since it is divisible by the number (52) 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 54766812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98328550320).

54766812672 is an abundant number, since it is smaller than the sum of its proper divisors (141890287968).

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

54766812672 is a wasteful number, since it uses less digits than its factorization.

54766812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4935 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 54766812672 in words is "fifty-four billion, seven hundred sixty-six million, eight hundred twelve thousand, six hundred seventy-two".