36429320970000 has 1200 divisors, whose sum is σ = 153570729385920. Its totient is φ = 8240569344000.

The previous prime is 36429320969971. The next prime is 36429320970043. The reversal of 36429320970000 is 7902392463.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 1283295807 + ... + 1283324193.

Almost surely, 2^{36429320970000} is an apocalyptic number.

36429320970000 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 36429320970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76785364692960).

36429320970000 is an abundant number, since it is smaller than the sum of its proper divisors (117141408415920).

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

36429320970000 is a wasteful number, since it uses less digits than its factorization.

36429320970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28535 (or 28501 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 36429320970000 in words is "thirty-six trillion, four hundred twenty-nine billion, three hundred twenty million, nine hundred seventy thousand".