37670045952 has 864 divisors, whose sum is σ = 138612829824. Its totient is φ = 8945664000.

The previous prime is 37670045947. The next prime is 37670046013. The reversal of 37670045952 is 25954007673.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372970702 + ... + 372970802.

It is an arithmetic number, because the mean of its divisors is an integer number (160431516).

Almost surely, 2^37670045952 is an apocalyptic number.

37670045952 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 37670045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69306414912).

37670045952 is an abundant number, since it is smaller than the sum of its proper divisors (100942783872).

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

37670045952 is a wasteful number, since it uses less digits than its factorization.

37670045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 37670045952 in words is "thirty-seven billion, six hundred seventy million, forty-five thousand, nine hundred fifty-two".