54762309379008 has 1792 divisors, whose sum is σ = 209298405888000. Its totient is φ = 14207379056640.

The previous prime is 54762309378989. The next prime is 54762309379009. The reversal of 54762309379008 is 80097390326745.

54762309379008 is a `hidden beast` number, since 5 + 476 + 2 + 3 + 0 + 93 + 79 + 0 + 0 + 8 = 666.

It is a super-3 number, since 3×54762309379008³ (a number of 42 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (54762309379009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63900010516 + ... + 63900011372.

Almost surely, 2^{54762309379008} 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 54762309379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104649202944000).

54762309379008 is an abundant number, since it is smaller than the sum of its proper divisors (154536096508992).

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

54762309379008 is an frugal number, since it uses more digits than its factorization.

54762309379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 54762309379008 in words is "fifty-four trillion, seven hundred sixty-two billion, three hundred nine million, three hundred seventy-nine thousand, eight".