35752455648 has 864 divisors, whose sum is σ = 138790713600. Its totient is φ = 8898978816.

The previous prime is 35752455643. The next prime is 35752455677. The reversal of 35752455648 is 84655425753.

35752455648 is a `hidden beast` number, since 3 + 5 + 7 + 524 + 55 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 35752455594 and 35752455603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35752455643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135940765 + ... + 135941027.

It is an arithmetic number, because the mean of its divisors is an integer number (160637400).

Almost surely, 2^35752455648 is an apocalyptic number.

35752455648 is a gapful number since it is divisible by the number (38) 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 35752455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69395356800).

35752455648 is an abundant number, since it is smaller than the sum of its proper divisors (103038257952).

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

35752455648 is a wasteful number, since it uses less digits than its factorization.

35752455648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 307 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 54.

The spelling of 35752455648 in words is "thirty-five billion, seven hundred fifty-two million, four hundred fifty-five thousand, six hundred forty-eight".