35676099360 has 864 divisors, whose sum is σ = 148820136192. Its totient is φ = 7690567680.

The previous prime is 35676099331. The next prime is 35676099397. The reversal of 35676099360 is 6399067653.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 35676099297 and 35676099306.

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, 97209897 + ... + 97210263.

It is an arithmetic number, because the mean of its divisors is an integer number (172245528).

Almost surely, 2^35676099360 is an apocalyptic number.

35676099360 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 35676099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74410068096).

35676099360 is an abundant number, since it is smaller than the sum of its proper divisors (113144036832).

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

35676099360 is a wasteful number, since it uses less digits than its factorization.

35676099360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 35676099360 in words is "thirty-five billion, six hundred seventy-six million, ninety-nine thousand, three hundred sixty".