672138492480 has 1120 divisors, whose sum is σ = 2957710339584. Its totient is φ = 141089734656.

The previous prime is 672138492469. The next prime is 672138492481. The reversal of 672138492480 is 84294831276.

672138492480 is a `hidden beast` number, since 6 + 72 + 1 + 3 + 8 + 4 + 92 + 480 = 666.

672138492480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (672138492481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 549581149 + ... + 549582371.

Almost surely, 2^672138492480 is an apocalyptic number.

672138492480 is a gapful number since it is divisible by the number (60) 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 672138492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478855169792).

672138492480 is an abundant number, since it is smaller than the sum of its proper divisors (2285571847104).

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

672138492480 is a wasteful number, since it uses less digits than its factorization.

672138492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 672138492480 in words is "six hundred seventy-two billion, one hundred thirty-eight million, four hundred ninety-two thousand, four hundred eighty".