4137693552 has 120 divisors (see below), whose sum is σ = 12057308640. Its totient is φ = 1322979840.

The previous prime is 4137693499. The next prime is 4137693559. The reversal of 4137693552 is 2553967314.

4137693552 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 6 + 93 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4137693498 and 4137693507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137693559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652477 + ... + 658787.

It is an arithmetic number, because the mean of its divisors is an integer number (100477572).

Almost surely, 2^4137693552 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 4137693552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028654320).

4137693552 is an abundant number, since it is smaller than the sum of its proper divisors (7919615088).

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

4137693552 is a wasteful number, since it uses less digits than its factorization.

4137693552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511 (or 6502 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 4137693552 is about 64324.9061561694. The cubic root of 4137693552 is about 1605.4105311388.

The spelling of 4137693552 in words is "four billion, one hundred thirty-seven million, six hundred ninety-three thousand, five hundred fifty-two".