36426274560 has 288 divisors, whose sum is σ = 139207682880. Its totient is φ = 8966356992.

The previous prime is 36426274537. The next prime is 36426274571. The reversal of 36426274560 is 6547262463.

36426274560 is a `hidden beast` number, since 3 + 64 + 2 + 6 + 27 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408742 + ... + 489818.

It is an arithmetic number, because the mean of its divisors is an integer number (483360010).

Almost surely, 2^36426274560 is an apocalyptic number.

36426274560 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 36426274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69603841440).

36426274560 is an abundant number, since it is smaller than the sum of its proper divisors (102781408320).

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

36426274560 is a wasteful number, since it uses less digits than its factorization.

36426274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81120 (or 81100 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 36426274560 in words is "thirty-six billion, four hundred twenty-six million, two hundred seventy-four thousand, five hundred sixty".