35376485760 has 1152 divisors, whose sum is σ = 159270209280. Its totient is φ = 7028121600.

The previous prime is 35376485747. The next prime is 35376485827. The reversal of 35376485760 is 6758467353.

35376485760 is a `hidden beast` number, since 3 + 5 + 3 + 7 + 64 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 35376485697 and 35376485706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 426222679 + ... + 426222761.

It is an arithmetic number, because the mean of its divisors is an integer number (138255390).

Almost surely, 2^35376485760 is an apocalyptic number.

35376485760 is a gapful number since it is divisible by the number (30) 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 35376485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79635104640).

35376485760 is an abundant number, since it is smaller than the sum of its proper divisors (123893723520).

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

35376485760 is a wasteful number, since it uses less digits than its factorization.

35376485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 35376485760 in words is "thirty-five billion, three hundred seventy-six million, four hundred eighty-five thousand, seven hundred sixty".