37728264773780 has 288 divisors, whose sum is σ = 95797997568000. Its totient is φ = 12436875779328.

The previous prime is 37728264773767. The next prime is 37728264773819. The reversal of 37728264773780 is 8737746282773.

It is a hoax number, since the sum of its digits (71) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 724083209 + ... + 724135311.

It is an arithmetic number, because the mean of its divisors is an integer number (332631936000).

Almost surely, 2^{37728264773780} 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 37728264773780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47898998784000).

37728264773780 is an abundant number, since it is smaller than the sum of its proper divisors (58069732794220).

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

37728264773780 is a wasteful number, since it uses less digits than its factorization.

37728264773780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52451 (or 52442 counting only the distinct ones).

The product of its (nonzero) digits is 929359872, while the sum is 71.

The spelling of 37728264773780 in words is "thirty-seven trillion, seven hundred twenty-eight billion, two hundred sixty-four million, seven hundred seventy-three thousand, seven hundred eighty".