36648497065950 has 432 divisors, whose sum is σ = 124972604147664. Its totient is φ = 7613912678400.

The previous prime is 36648497065949. The next prime is 36648497065979. The reversal of 36648497065950 is 5956079484663.

36648497065950 is a `hidden beast` number, since 3 + 6 + 6 + 48 + 497 + 0 + 6 + 5 + 95 + 0 = 666.

It is a super-2 number, since 2×36648497065950² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1925109832 + ... + 1925128868.

It is an arithmetic number, because the mean of its divisors is an integer number (289288435527).

Almost surely, 2^{36648497065950} is an apocalyptic number.

36648497065950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36648497065950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62486302073832).

36648497065950 is an abundant number, since it is smaller than the sum of its proper divisors (88324107081714).

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

36648497065950 is a wasteful number, since it uses less digits than its factorization.

36648497065950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27017 (or 27002 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 36648497065950 in words is "thirty-six trillion, six hundred forty-eight billion, four hundred ninety-seven million, sixty-five thousand, nine hundred fifty".