37777472712 has 640 divisors, whose sum is σ = 131574896640. Its totient is φ = 9898536960.

The previous prime is 37777472701. The next prime is 37777472729. The reversal of 37777472712 is 21727477773.

37777472712 is a `hidden beast` number, since 37 + 7 + 77 + 472 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 159 ways as a sum of consecutive naturals, for example, 275747908 + ... + 275748044.

It is an arithmetic number, because the mean of its divisors is an integer number (205585776).

Almost surely, 2^37777472712 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 37777472712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65787448320).

37777472712 is an abundant number, since it is smaller than the sum of its proper divisors (93797423928).

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

37777472712 is a wasteful number, since it uses less digits than its factorization.

37777472712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its digits is 5647152, while the sum is 54.

The spelling of 37777472712 in words is "thirty-seven billion, seven hundred seventy-seven million, four hundred seventy-two thousand, seven hundred twelve".