4557670954368 has 512 divisors, whose sum is σ = 15041980800000. Its totient is φ = 1194826235904.

The previous prime is 4557670954321. The next prime is 4557670954391. The reversal of 4557670954368 is 8634590767554.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124003258 + ... + 124040006.

It is an arithmetic number, because the mean of its divisors is an integer number (29378868750).

Almost surely, 2^{4557670954368} is an apocalyptic number.

4557670954368 is a gapful number since it is divisible by the number (48) 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 4557670954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520990400000).

4557670954368 is an abundant number, since it is smaller than the sum of its proper divisors (10484309845632).

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

4557670954368 is a wasteful number, since it uses less digits than its factorization.

4557670954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36882 (or 36870 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 69.

The spelling of 4557670954368 in words is "four trillion, five hundred fifty-seven billion, six hundred seventy million, nine hundred fifty-four thousand, three hundred sixty-eight".