37788455973312 has 896 divisors, whose sum is σ = 127552743014400. Its totient is φ = 10866078720000.

The previous prime is 37788455973277. The next prime is 37788455973361. The reversal of 37788455973312 is 21337955488773.

37788455973312 is a `hidden beast` number, since 3 + 7 + 7 + 88 + 455 + 97 + 3 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7990789764 + ... + 7990794492.

Almost surely, 2^{37788455973312} is an apocalyptic number.

37788455973312 is a gapful number since it is divisible by the number (32) 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 37788455973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63776371507200).

37788455973312 is an abundant number, since it is smaller than the sum of its proper divisors (89764287041088).

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

37788455973312 is a wasteful number, since it uses less digits than its factorization.

37788455973312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5038 counting only the distinct ones).

The product of its digits is 1066867200, while the sum is 72.

The spelling of 37788455973312 in words is "thirty-seven trillion, seven hundred eighty-eight billion, four hundred fifty-five million, nine hundred seventy-three thousand, three hundred twelve".