36734657225616 has 280 divisors, whose sum is σ = 121985656834944. Its totient is φ = 10493042641920.

The previous prime is 36734657225593. The next prime is 36734657225633. The reversal of 36734657225616 is 61652275643763.

36734657225616 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 4 + 6 + 5 + 7 + 2 + 2 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 346216125 + ... + 346322211.

Almost surely, 2^{36734657225616} is an apocalyptic number.

36734657225616 is a gapful number since it is divisible by the number (36) 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 36734657225616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60992828417472).

36734657225616 is an abundant number, since it is smaller than the sum of its proper divisors (85250999609328).

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

36734657225616 is a wasteful number, since it uses less digits than its factorization.

36734657225616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110361 (or 110340 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 63.

The spelling of 36734657225616 in words is "thirty-six trillion, seven hundred thirty-four billion, six hundred fifty-seven million, two hundred twenty-five thousand, six hundred sixteen".