37818398016 has 448 divisors, whose sum is σ = 135176117760. Its totient is φ = 10121379840.

The previous prime is 37818397973. The next prime is 37818398027. The reversal of 37818398016 is 61089381873.

37818398016 is a `hidden beast` number, since 378 + 183 + 9 + 80 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72587836 + ... + 72588356.

Almost surely, 2^37818398016 is an apocalyptic number.

37818398016 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 37818398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67588058880).

37818398016 is an abundant number, since it is smaller than the sum of its proper divisors (97357719744).

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

37818398016 is a wasteful number, since it uses less digits than its factorization.

37818398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 37818398016 in words is "thirty-seven billion, eight hundred eighteen million, three hundred ninety-eight thousand, sixteen".