37098668880 has 960 divisors, whose sum is σ = 171004055040. Its totient is φ = 6975258624.

The previous prime is 37098668879. The next prime is 37098668911. The reversal of 37098668880 is 8886689073.

It is a super-2 number, since 2×37098668880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21162084 + ... + 21163836.

It is an arithmetic number, because the mean of its divisors is an integer number (178129224).

Almost surely, 2^37098668880 is an apocalyptic number.

37098668880 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 37098668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85502027520).

37098668880 is an abundant number, since it is smaller than the sum of its proper divisors (133905386160).

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

37098668880 is a wasteful number, since it uses less digits than its factorization.

37098668880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 37098668880 in words is "thirty-seven billion, ninety-eight million, six hundred sixty-eight thousand, eight hundred eighty".