37450406016 has 96 divisors (see below), whose sum is σ = 107828463600. Its totient is φ = 12476401152.

The previous prime is 37450406009. The next prime is 37450406023. The reversal of 37450406016 is 61060405473.

It is a happy number.

37450406016 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 0 + 40 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (37450406009) and next prime (37450406023).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2271595 + ... + 2288021.

Almost surely, 2^37450406016 is an apocalyptic number.

37450406016 is a gapful number since it is divisible by the number (36) 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 37450406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53914231800).

37450406016 is an abundant number, since it is smaller than the sum of its proper divisors (70378057584).

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

37450406016 is a wasteful number, since it uses less digits than its factorization.

37450406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18426 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 37450406016 in words is "thirty-seven billion, four hundred fifty million, four hundred six thousand, sixteen".