8361629377920 has 1536 divisors, whose sum is σ = 37050773760000. Its totient is φ = 1754755301376.

The previous prime is 8361629377903. The next prime is 8361629377939. The reversal of 8361629377920 is 297739261638.

8361629377920 is a `hidden beast` number, since 8 + 3 + 616 + 2 + 9 + 3 + 7 + 7 + 9 + 2 + 0 = 666.

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, 2816310196 + ... + 2816313164.

It is an arithmetic number, because the mean of its divisors is an integer number (24121597500).

Almost surely, 2^{8361629377920} is an apocalyptic number.

8361629377920 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 8361629377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18525386880000).

8361629377920 is an abundant number, since it is smaller than the sum of its proper divisors (28689144382080).

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

8361629377920 is a wasteful number, since it uses less digits than its factorization.

8361629377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 8361629377920 in words is "eight trillion, three hundred sixty-one billion, six hundred twenty-nine million, three hundred seventy-seven thousand, nine hundred twenty".