37278247968 has 144 divisors (see below), whose sum is σ = 117847731456. Its totient is φ = 11100188160.

The previous prime is 37278247891. The next prime is 37278247973. The reversal of 37278247968 is 86974287273.

37278247968 is a `hidden beast` number, since 3 + 7 + 27 + 82 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×37278247968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44530 + ... + 276657.

It is an arithmetic number, because the mean of its divisors is an integer number (818387024).

Almost surely, 2^37278247968 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 37278247968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58923865728).

37278247968 is an abundant number, since it is smaller than the sum of its proper divisors (80569483488).

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

37278247968 is a wasteful number, since it uses less digits than its factorization.

37278247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321247 (or 321236 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 37278247968 in words is "thirty-seven billion, two hundred seventy-eight million, two hundred forty-seven thousand, nine hundred sixty-eight".