6497155920 has 320 divisors, whose sum is σ = 21804318720. Its totient is φ = 1596401664.

The previous prime is 6497155913. The next prime is 6497155949. The reversal of 6497155920 is 295517946.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6497155920.

It is a congruent number.

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, 20495602 + ... + 20495918.

It is an arithmetic number, because the mean of its divisors is an integer number (68138496).

Almost surely, 2^6497155920 is an apocalyptic number.

6497155920 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 6497155920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10902159360).

6497155920 is an abundant number, since it is smaller than the sum of its proper divisors (15307162800).

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

6497155920 is a wasteful number, since it uses less digits than its factorization.

6497155920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 6497155920 is about 80604.9373177599. The cubic root of 6497155920 is about 1865.9833448448.

The spelling of 6497155920 in words is "six billion, four hundred ninety-seven million, one hundred fifty-five thousand, nine hundred twenty".