36895674240 has 384 divisors, whose sum is σ = 132632248320. Its totient is φ = 9440686080.

The previous prime is 36895674239. The next prime is 36895674247. The reversal of 36895674240 is 4247659863.

36895674240 is a `hidden beast` number, since 36 + 8 + 9 + 567 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×36895674240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36895674247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22676307 + ... + 22677933.

It is an arithmetic number, because the mean of its divisors is an integer number (345396480).

Almost surely, 2^36895674240 is an apocalyptic number.

36895674240 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 36895674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66316124160).

36895674240 is an abundant number, since it is smaller than the sum of its proper divisors (95736574080).

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

36895674240 is a wasteful number, since it uses less digits than its factorization.

36895674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 36895674240 in words is "thirty-six billion, eight hundred ninety-five million, six hundred seventy-four thousand, two hundred forty".