54762462720 has 1920 divisors, whose sum is σ = 255262233600. Its totient is φ = 11036196864.

The previous prime is 54762462709. The next prime is 54762462721. The reversal of 54762462720 is 2726426745.

It is a happy number.

54762462720 is a `hidden beast` number, since 54 + 76 + 2 + 462 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54762462721) 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, 1480066542 + ... + 1480066578.

It is an arithmetic number, because the mean of its divisors is an integer number (132949080).

Almost surely, 2^54762462720 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 54762462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127631116800).

54762462720 is an abundant number, since it is smaller than the sum of its proper divisors (200499770880).

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

54762462720 is a wasteful number, since it uses less digits than its factorization.

54762462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 54762462720 in words is "fifty-four billion, seven hundred sixty-two million, four hundred sixty-two thousand, seven hundred twenty".