7436100672 has 560 divisors, whose sum is σ = 29616757632. Its totient is φ = 1781637120.

The previous prime is 7436100647. The next prime is 7436100697. The reversal of 7436100672 is 2760016347.

It is an interprime number because it is at equal distance from previous prime (7436100647) and next prime (7436100697).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5188468 + ... + 5189900.

Almost surely, 2^7436100672 is an apocalyptic number.

7436100672 is a gapful number since it is divisible by the number (72) 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 7436100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14808378816).

7436100672 is an abundant number, since it is smaller than the sum of its proper divisors (22180656960).

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

7436100672 is a wasteful number, since it uses less digits than its factorization.

7436100672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7436100672 is about 86232.8282732278. The cubic root of 7436100672 is about 1951.8589042958.

The spelling of 7436100672 in words is "seven billion, four hundred thirty-six million, one hundred thousand, six hundred seventy-two".