1506015998640 has 320 divisors, whose sum is σ = 5388584572800. Its totient is φ = 386143027200.

The previous prime is 1506015998639. The next prime is 1506015998659. The reversal of 1506015998640 is 468995106051.

1506015998640 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 0 + 1 + 599 + 8 + 6 + 40 = 666.

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, 15046360 + ... + 15146120.

It is an arithmetic number, because the mean of its divisors is an integer number (16839326790).

Almost surely, 2^{1506015998640} is an apocalyptic number.

1506015998640 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 1506015998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694292286400).

1506015998640 is an abundant number, since it is smaller than the sum of its proper divisors (3882568574160).

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

1506015998640 is a wasteful number, since it uses less digits than its factorization.

1506015998640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100053 (or 100041 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1506015998640 in words is "one trillion, five hundred six billion, fifteen million, nine hundred ninety-eight thousand, six hundred forty".