36754421760000 has 1800 divisors, whose sum is σ = 158355227793840. Its totient is φ = 8397914112000.

The previous prime is 36754421759989. The next prime is 36754421760037. The reversal of 36754421760000 is 6712445763.

36754421760000 is a `hidden beast` number, since 36 + 7 + 5 + 4 + 4 + 2 + 1 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×36754421760000² (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 119 ways as a sum of consecutive naturals, for example, 13547518644 + ... + 13547521356.

Almost surely, 2^{36754421760000} is an apocalyptic number.

36754421760000 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 36754421760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79177613896920).

36754421760000 is an abundant number, since it is smaller than the sum of its proper divisors (121600806033840).

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

36754421760000 is an frugal number, since it uses more digits than its factorization.

36754421760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 36754421760000 in words is "thirty-six trillion, seven hundred fifty-four billion, four hundred twenty-one million, seven hundred sixty thousand".