37552260480 has 256 divisors, whose sum is σ = 137219996160. Its totient is φ = 8556871680.

The previous prime is 37552260463. The next prime is 37552260481. The reversal of 37552260480 is 8406225573.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37552260481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4525135 + ... + 4533425.

It is an arithmetic number, because the mean of its divisors is an integer number (536015610).

Almost surely, 2^37552260480 is an apocalyptic number.

37552260480 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 37552260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68609998080).

37552260480 is an abundant number, since it is smaller than the sum of its proper divisors (99667735680).

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

37552260480 is a wasteful number, since it uses less digits than its factorization.

37552260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8657 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 37552260480 in words is "thirty-seven billion, five hundred fifty-two million, two hundred sixty thousand, four hundred eighty".