6772137840 has 480 divisors, whose sum is σ = 25721020416. Its totient is φ = 1646023680.

The previous prime is 6772137839. The next prime is 6772137851. The reversal of 6772137840 is 487312776.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 32095335 + ... + 32095545.

Almost surely, 2^6772137840 is an apocalyptic number.

6772137840 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 6772137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860510208).

6772137840 is an abundant number, since it is smaller than the sum of its proper divisors (18948882576).

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

6772137840 is a wasteful number, since it uses less digits than its factorization.

6772137840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 6772137840 is about 82292.9999453173. Note that the first 4 decimals coincide. The cubic root of 6772137840 is about 1891.9453892016.

The spelling of 6772137840 in words is "six billion, seven hundred seventy-two million, one hundred thirty-seven thousand, eight hundred forty".