35676064050000 has 480 divisors, whose sum is σ = 126233840517120. Its totient is φ = 8609870400000.

The previous prime is 35676064049981. The next prime is 35676064050013. The reversal of 35676064050000 is 5046067653.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367901521 + ... + 367998479.

It is an arithmetic number, because the mean of its divisors is an integer number (262987167744).

Almost surely, 2^{35676064050000} is an apocalyptic number.

35676064050000 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 35676064050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63116920258560).

35676064050000 is an abundant number, since it is smaller than the sum of its proper divisors (90557776467120).

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

35676064050000 is a wasteful number, since it uses less digits than its factorization.

35676064050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97229 (or 97203 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 35676064050000 in words is "thirty-five trillion, six hundred seventy-six billion, sixty-four million, fifty thousand".