37428951120768 has 1536 divisors, whose sum is σ = 123093256366080. Its totient is φ = 10863614361600.

The previous prime is 37428951120761. The next prime is 37428951120779. The reversal of 37428951120768 is 86702115982473.

37428951120768 is a `hidden beast` number, since 3 + 7 + 4 + 28 + 9 + 511 + 20 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37428951120761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285717184063 + ... + 285717184193.

It is an arithmetic number, because the mean of its divisors is an integer number (80138838780).

It is a 2-persistent number, because it is pandigital, and so is 2⋅37428951120768 = 74857902241536, but 3⋅37428951120768 = 112286853362304 is not.

Almost surely, 2^{37428951120768} 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 37428951120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61546628183040).

37428951120768 is an abundant number, since it is smaller than the sum of its proper divisors (85664305245312).

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

37428951120768 is a wasteful number, since it uses less digits than its factorization.

37428951120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 37428951120768 in words is "thirty-seven trillion, four hundred twenty-eight billion, nine hundred fifty-one million, one hundred twenty thousand, seven hundred sixty-eight".