57774076416 has 720 divisors, whose sum is σ = 212578581600. Its totient is φ = 15404691456.

The previous prime is 57774076391. The next prime is 57774076447. The reversal of 57774076416 is 61467047775.

It is a happy number.

57774076416 is a `hidden beast` number, since 57 + 77 + 40 + 76 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 57774076416 = 852³ + 3852³ = 1724³ + 3748³.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 862299615 + ... + 862299681.

It is an arithmetic number, because the mean of its divisors is an integer number (295248030).

Almost surely, 2^57774076416 is an apocalyptic number.

57774076416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57774076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106289290800).

57774076416 is an abundant number, since it is smaller than the sum of its proper divisors (154804505184).

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

57774076416 is an equidigital number, since it uses as much as digits as its factorization.

57774076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 57774076416 in words is "fifty-seven billion, seven hundred seventy-four million, seventy-six thousand, four hundred sixteen".