1506678693120 has 864 divisors, whose sum is σ = 5618332661760. Its totient is φ = 386266890240.

The previous prime is 1506678693109. The next prime is 1506678693133. The reversal of 1506678693120 is 213968766051.

1506678693120 is a `hidden beast` number, since 1 + 506 + 6 + 7 + 8 + 6 + 9 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×1506678693120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 1024253985 + ... + 1024255455.

It is an arithmetic number, because the mean of its divisors is an integer number (6502699840).

Almost surely, 2^{1506678693120} is an apocalyptic number.

1506678693120 is a gapful number since it is divisible by the number (10) 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 1506678693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809166330880).

1506678693120 is an abundant number, since it is smaller than the sum of its proper divisors (4111653968640).

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

1506678693120 is an equidigital number, since it uses as much as digits as its factorization.

1506678693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1506678693120 in words is "one trillion, five hundred six billion, six hundred seventy-eight million, six hundred ninety-three thousand, one hundred twenty".