37698399490752 has 4032 divisors, whose sum is σ = 162551849241600. Its totient is φ = 8548454154240.

The previous prime is 37698399490747. The next prime is 37698399490793. The reversal of 37698399490752 is 25709499389673.

37698399490752 is a `hidden beast` number, since 3 + 7 + 6 + 98 + 39 + 9 + 490 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 423577522324 + ... + 423577522412.

It is an arithmetic number, because the mean of its divisors is an integer number (40315438800).

Almost surely, 2^{37698399490752} is an apocalyptic number.

37698399490752 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 37698399490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81275924620800).

37698399490752 is an abundant number, since it is smaller than the sum of its proper divisors (124853449750848).

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

37698399490752 is a wasteful number, since it uses less digits than its factorization.

37698399490752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 81.

The spelling of 37698399490752 in words is "thirty-seven trillion, six hundred ninety-eight billion, three hundred ninety-nine million, four hundred ninety thousand, seven hundred fifty-two".