54376672384440 has 384 divisors, whose sum is σ = 213867112268160. Its totient is φ = 11696963715072.

The previous prime is 54376672384393. The next prime is 54376672384451. The reversal of 54376672384440 is 4448327667345.

54376672384440 is a `hidden beast` number, since 5 + 4 + 37 + 6 + 67 + 23 + 84 + 440 = 666.

It is a super-2 number, since 2×54376672384440² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 689556054 + ... + 689634906.

It is an arithmetic number, because the mean of its divisors is an integer number (556945604865).

Almost surely, 2^{54376672384440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54376672384440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106933556134080).

54376672384440 is an abundant number, since it is smaller than the sum of its proper divisors (159490439883720).

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

54376672384440 is a wasteful number, since it uses less digits than its factorization.

54376672384440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94991 (or 94984 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 63.

The spelling of 54376672384440 in words is "fifty-four trillion, three hundred seventy-six billion, six hundred seventy-two million, three hundred eighty-four thousand, four hundred forty".