37125789480 has 640 divisors, whose sum is σ = 147678854400. Its totient is φ = 8277147648.

The previous prime is 37125789427. The next prime is 37125789523. The reversal of 37125789480 is 8498752173.

It is a happy number.

37125789480 is a `hidden beast` number, since 3 + 71 + 25 + 78 + 9 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 18405432 + ... + 18407448.

It is an arithmetic number, because the mean of its divisors is an integer number (230748210).

Almost surely, 2^37125789480 is an apocalyptic number.

37125789480 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 37125789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73839427200).

37125789480 is an abundant number, since it is smaller than the sum of its proper divisors (110553064920).

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

37125789480 is a wasteful number, since it uses less digits than its factorization.

37125789480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 37125789480 in words is "thirty-seven billion, one hundred twenty-five million, seven hundred eighty-nine thousand, four hundred eighty".