37554937640064 has 384 divisors, whose sum is σ = 116639364441600. Its totient is φ = 11529768960000.

The previous prime is 37554937639969. The next prime is 37554937640081. The reversal of 37554937640064 is 46004673945573.

It is a happy number.

37554937640064 is a `hidden beast` number, since 3 + 7 + 554 + 9 + 3 + 76 + 4 + 0 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×37554937640064² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37554937639983 and 37554937640010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25882106539 + ... + 25882107989.

It is an arithmetic number, because the mean of its divisors is an integer number (303748344900).

Almost surely, 2^{37554937640064} 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 37554937640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58319682220800).

37554937640064 is an abundant number, since it is smaller than the sum of its proper divisors (79084426801536).

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

37554937640064 is a wasteful number, since it uses less digits than its factorization.

37554937640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4109 counting only the distinct ones).

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

The spelling of 37554937640064 in words is "thirty-seven trillion, five hundred fifty-four billion, nine hundred thirty-seven million, six hundred forty thousand, sixty-four".