36906704352000 has 1728 divisors, whose sum is σ = 162733173482880. Its totient is φ = 8207474688000.

The previous prime is 36906704351981. The next prime is 36906704352013. The reversal of 36906704352000 is 25340760963.

36906704352000 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 6 + 7 + 0 + 435 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×36906704352000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1566420220 + ... + 1566443780.

It is an arithmetic number, because the mean of its divisors is an integer number (94174290210).

Almost surely, 2^{36906704352000} is an apocalyptic number.

36906704352000 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 36906704352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81366586741440).

36906704352000 is an abundant number, since it is smaller than the sum of its proper divisors (125826469130880).

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

36906704352000 is a wasteful number, since it uses less digits than its factorization.

36906704352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23652 (or 23615 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 36906704352000 in words is "thirty-six trillion, nine hundred six billion, seven hundred four million, three hundred fifty-two thousand".