54623780640 has 1152 divisors, whose sum is σ = 232475443200. Its totient is φ = 11496038400.

The previous prime is 54623780587. The next prime is 54623780641. The reversal of 54623780640 is 4608732645.

54623780640 is a `hidden beast` number, since 546 + 23 + 7 + 80 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×54623780640² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54623780641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274491261 + ... + 274491459.

It is an arithmetic number, because the mean of its divisors is an integer number (201801600).

Almost surely, 2^54623780640 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 54623780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116237721600).

54623780640 is an abundant number, since it is smaller than the sum of its proper divisors (177851662560).

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

54623780640 is a wasteful number, since it uses less digits than its factorization.

54623780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54623780640 in words is "fifty-four billion, six hundred twenty-three million, seven hundred eighty thousand, six hundred forty".