37768273920 has 896 divisors, whose sum is σ = 150608263680. Its totient is φ = 8918138880.

The previous prime is 37768273903. The next prime is 37768273937. The reversal of 37768273920 is 2937286773.

It is an interprime number because it is at equal distance from previous prime (37768273903) and next prime (37768273937).

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

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, 531947485 + ... + 531947555.

It is an arithmetic number, because the mean of its divisors is an integer number (168089580).

Almost surely, 2^37768273920 is an apocalyptic number.

37768273920 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 37768273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75304131840).

37768273920 is an abundant number, since it is smaller than the sum of its proper divisors (112839989760).

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

37768273920 is a wasteful number, since it uses less digits than its factorization.

37768273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 37768273920 in words is "thirty-seven billion, seven hundred sixty-eight million, two hundred seventy-three thousand, nine hundred twenty".