37085484752064 has 672 divisors, whose sum is σ = 128194607923200. Its totient is φ = 10028021667840.

The previous prime is 37085484752039. The next prime is 37085484752083. The reversal of 37085484752064 is 46025748458073.

37085484752064 is a `hidden beast` number, since 3 + 7 + 0 + 8 + 5 + 4 + 8 + 47 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 37085484751992 and 37085484752010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1164034567 + ... + 1164066425.

It is an arithmetic number, because the mean of its divisors is an integer number (190765785600).

Almost surely, 2^{37085484752064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37085484752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64097303961600).

37085484752064 is an abundant number, since it is smaller than the sum of its proper divisors (91109123171136).

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

37085484752064 is a wasteful number, since it uses less digits than its factorization.

37085484752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32121 (or 32108 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 37085484752064 in words is "thirty-seven trillion, eighty-five billion, four hundred eighty-four million, seven hundred fifty-two thousand, sixty-four".