57629792429648 has 80 divisors (see below), whose sum is σ = 117417255648000. Its totient is φ = 27361534717440.

The previous prime is 57629792429633. The next prime is 57629792429659. The reversal of 57629792429648 is 84692429792675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217780265 + ... + 218044727.

It is an arithmetic number, because the mean of its divisors is an integer number (1467715695600).

Almost surely, 2^{57629792429648} is an apocalyptic number.

57629792429648 is a gapful number since it is divisible by the number (58) 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 57629792429648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58708627824000).

57629792429648 is an abundant number, since it is smaller than the sum of its proper divisors (59787463218352).

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

57629792429648 is a wasteful number, since it uses less digits than its factorization.

57629792429648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272260 (or 272254 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 80.

The spelling of 57629792429648 in words is "fifty-seven trillion, six hundred twenty-nine billion, seven hundred ninety-two million, four hundred twenty-nine thousand, six hundred forty-eight".