54677540736 has 576 divisors, whose sum is σ = 198649545120. Its totient is φ = 14129676288.

The previous prime is 54677540693. The next prime is 54677540737. The reversal of 54677540736 is 63704577645.

It is a happy number.

54677540736 is a `hidden beast` number, since 5 + 4 + 67 + 7 + 540 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54677540737) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72228870 + ... + 72229626.

Almost surely, 2^54677540736 is an apocalyptic number.

54677540736 is a gapful number since it is divisible by the number (56) 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 54677540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99324772560).

54677540736 is an abundant number, since it is smaller than the sum of its proper divisors (143972004384).

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

54677540736 is a wasteful number, since it uses less digits than its factorization.

54677540736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 54677540736 in words is "fifty-four billion, six hundred seventy-seven million, five hundred forty thousand, seven hundred thirty-six".