54677034720 has 1440 divisors, whose sum is σ = 257536407744. Its totient is φ = 10656645120.

The previous prime is 54677034719. The next prime is 54677034743. The reversal of 54677034720 is 2743077645.

54677034720 is a `hidden beast` number, since 54 + 67 + 70 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 186610894 + ... + 186611186.

Almost surely, 2^54677034720 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 54677034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128768203872).

54677034720 is an abundant number, since it is smaller than the sum of its proper divisors (202859373024).

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

54677034720 is a wasteful number, since it uses less digits than its factorization.

54677034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 54677034720 in words is "fifty-four billion, six hundred seventy-seven million, thirty-four thousand, seven hundred twenty".