8061237038400 has 2688 divisors, whose sum is σ = 35854038528000. Its totient is φ = 1570428518400.

The previous prime is 8061237038383. The next prime is 8061237038431. The reversal of 8061237038400 is 48307321608.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17486414170 + ... + 17486414630.

It is an arithmetic number, because the mean of its divisors is an integer number (13338556000).

Almost surely, 2^{8061237038400} is an apocalyptic number.

8061237038400 is a gapful number since it is divisible by the number (80) 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 8061237038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927019264000).

8061237038400 is an abundant number, since it is smaller than the sum of its proper divisors (27792801489600).

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

8061237038400 is a wasteful number, since it uses less digits than its factorization.

8061237038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 8061237038400 in words is "eight trillion, sixty-one billion, two hundred thirty-seven million, thirty-eight thousand, four hundred".