1506401091936 has 576 divisors, whose sum is σ = 4779549815040. Its totient is φ = 447180963840.

The previous prime is 1506401091901. The next prime is 1506401091953. The reversal of 1506401091936 is 6391901046051.

1506401091936 is a `hidden beast` number, since 1 + 50 + 6 + 401 + 0 + 9 + 193 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1506401091891 and 1506401091900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5558675481 + ... + 5558675751.

It is an arithmetic number, because the mean of its divisors is an integer number (8297829540).

Almost surely, 2^{1506401091936} is an apocalyptic number.

1506401091936 is a gapful number since it is divisible by the number (16) 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 1506401091936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389774907520).

1506401091936 is an abundant number, since it is smaller than the sum of its proper divisors (3273148723104).

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

1506401091936 is a wasteful number, since it uses less digits than its factorization.

1506401091936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1506401091936 in words is "one trillion, five hundred six billion, four hundred one million, ninety-one thousand, nine hundred thirty-six".