37253406960 has 1440 divisors, whose sum is σ = 174686533632. Its totient is φ = 6884720640.

The previous prime is 37253406907. The next prime is 37253406997. The reversal of 37253406960 is 6960435273.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 792625657 + ... + 792625703.

Almost surely, 2^37253406960 is an apocalyptic number.

37253406960 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 37253406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87343266816).

37253406960 is an abundant number, since it is smaller than the sum of its proper divisors (137433126672).

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

37253406960 is a wasteful number, since it uses less digits than its factorization.

37253406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 37253406960 in words is "thirty-seven billion, two hundred fifty-three million, four hundred six thousand, nine hundred sixty".