1506429780480 has 720 divisors, whose sum is σ = 5550100395840. Its totient is φ = 377543835648.

The previous prime is 1506429780469. The next prime is 1506429780481. The reversal of 1506429780480 is 840879246051.

It is a happy number.

1506429780480 is a `hidden beast` number, since 1 + 5 + 0 + 64 + 29 + 7 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506429780481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1156123509 + ... + 1156124811.

It is an arithmetic number, because the mean of its divisors is an integer number (7708472772).

Almost surely, 2^{1506429780480} is an apocalyptic number.

1506429780480 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 1506429780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775050197920).

1506429780480 is an abundant number, since it is smaller than the sum of its proper divisors (4043670615360).

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

1506429780480 is a wasteful number, since it uses less digits than its factorization.

1506429780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1506429780480 in words is "one trillion, five hundred six billion, four hundred twenty-nine million, seven hundred eighty thousand, four hundred eighty".