57734420832 has 288 divisors, whose sum is σ = 194622704640. Its totient is φ = 16039296000.

The previous prime is 57734420827. The next prime is 57734420837. The reversal of 57734420832 is 23802443775.

57734420832 is a `hidden beast` number, since 5 + 77 + 344 + 208 + 32 = 666.

57734420832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57734420827) and next prime (57734420837).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×57734420832⁴ (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57734420837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850482 + ... + 1881422.

It is an arithmetic number, because the mean of its divisors is an integer number (675773280).

Almost surely, 2^57734420832 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 57734420832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97311352320).

57734420832 is an abundant number, since it is smaller than the sum of its proper divisors (136888283808).

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

57734420832 is a wasteful number, since it uses less digits than its factorization.

57734420832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31018 (or 31007 counting only the distinct ones).

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

The spelling of 57734420832 in words is "fifty-seven billion, seven hundred thirty-four million, four hundred twenty thousand, eight hundred thirty-two".