37999007815680 has 576 divisors, whose sum is σ = 136670111585280. Its totient is φ = 10126045052928.

The previous prime is 37999007815679. The next prime is 37999007815723. The reversal of 37999007815680 is 8651870099973.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×37999007815680² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 37999007815599 and 37999007815608.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4287370929 + ... + 4287379791.

It is an arithmetic number, because the mean of its divisors is an integer number (237274499280).

Almost surely, 2^{37999007815680} is an apocalyptic number.

37999007815680 is a gapful number since it is divisible by the number (30) 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 37999007815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68335055792640).

37999007815680 is an abundant number, since it is smaller than the sum of its proper divisors (98671103769600).

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

37999007815680 is an equidigital number, since it uses as much as digits as its factorization.

37999007815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 37999007815680 in words is "thirty-seven trillion, nine hundred ninety-nine billion, seven million, eight hundred fifteen thousand, six hundred eighty".